11/2019

We develop the technology for Polyakov-Mellin (PM) bootstrap in one-dimensional conformal field theories (CFT$_1$). By adding appropriate contact terms, we...

Physics - High Energy Physics - Theory

Physics - High Energy Physics - Theory

Journal Article

11/2019

We derive bounds analogous to the Froissart bound for the absorptive part of CFT$_d$ Mellin amplitudes. Invoking the AdS/CFT correspondence, these amplitudes...

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 11/2019, Volume 2019, Issue 11, pp. 1 - 32

We consider the diagonal limit of the conformal bootstrap in arbitrary dimensions and investigate the question if physical theories are given in terms of...

Scattering Amplitudes | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Polytopes | Linear programming

Scattering Amplitudes | Conformal Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Polytopes | Linear programming

Journal Article

07/2019

We propose a modification to Nielsen's circuit complexity for Hamiltonian simulation using the Suzuki-Trotter (ST) method, which provides a network like...

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2018, Volume 2018, Issue 12, pp. 1 - 38

We elaborate on some general aspects of the crossing symmetric approach of Polyakov to the conformal bootstrap, as recently formulated in Mellin space. This...

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Hypergeometric functions | Exchanging

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, PARTICLES & FIELDS | Hypergeometric functions | Exchanging

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2018, Volume 2018, Issue 10, pp. 1 - 44

We consider circuit complexity in certain interacting scalar quantum field theories, mainly focusing on the ϕ 4 theory. We work out the circuit complexity for...

Lattice Quantum Field Theory | AdS-CFT Correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Effective Field Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | QUANTUM COMPUTATION | PHYSICS, PARTICLES & FIELDS | Integral transforms | Circuit breakers | Quantum theory | Complexity

Lattice Quantum Field Theory | AdS-CFT Correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Effective Field Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | QUANTUM COMPUTATION | PHYSICS, PARTICLES & FIELDS | Integral transforms | Circuit breakers | Quantum theory | Complexity

Journal Article

03/2018

Mevcut buluş, formül ile temsil edilen bir bileşik veya buna ait bir farmasötik olarak kabul edilebilir tuzu veya devingen eşizini temin etmektedir: burada R1...

SPECIFIC THERAPEUTIC ACTIVITY OF CHEMICAL COMPOUNDS ORMEDICINAL PREPARATIONS | HYGIENE | PREPARATIONS FOR MEDICAL, DENTAL, OR TOILET PURPOSES | MEDICAL OR VETERINARY SCIENCE | HUMAN NECESSITIES

SPECIFIC THERAPEUTIC ACTIVITY OF CHEMICAL COMPOUNDS ORMEDICINAL PREPARATIONS | HYGIENE | PREPARATIONS FOR MEDICAL, DENTAL, OR TOILET PURPOSES | MEDICAL OR VETERINARY SCIENCE | HUMAN NECESSITIES

Patent

Journal of High Energy Physics, ISSN 1126-6708, 1/2018, Volume 2018, Issue 1, pp. 1 - 40

We set up the conventional conformal bootstrap equations in Mellin space and analyse the anomalous dimensions and OPE coefficients of large spin double trace...

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | OPERATOR | EXPANSION | PHYSICS, PARTICLES & FIELDS | Functions (mathematics) | Operators (mathematics) | Mathematical functions | Polynomials | Asymptotic series | Mathematical analysis | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Condensed Matter - Strongly Correlated Electrons

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | OPERATOR | EXPANSION | PHYSICS, PARTICLES & FIELDS | Functions (mathematics) | Operators (mathematics) | Mathematical functions | Polynomials | Asymptotic series | Mathematical analysis | Nuclear and particle physics. Atomic energy. Radioactivity | High Energy Physics - Theory | Condensed Matter - Strongly Correlated Electrons

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2017, Volume 2017, Issue 7, pp. 1 - 46

We apply analytic conformal bootstrap ideas in Mellin space to conformal field theories with O(N) symmetry and cubic anisotropy. We write down the conditions...

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | CONSISTENCY RELATIONS | 4-EPSILON DIMENSIONS | SIGMA-MODEL | OPERATOR PRODUCT EXPANSIONS | QUANTUM-FIELD-THEORY | CRITICAL EXPONENTS | CONFORMAL SYMMETRY | O(N) VECTOR MODEL | ANOMALOUS DIMENSIONS | RENORMALIZATION-GROUP FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Anisotropy | Mathematical analysis | Operators | Symmetry | High Energy Physics - Phenomenology | Condensed Matter - Strongly Correlated Electrons | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | CONSISTENCY RELATIONS | 4-EPSILON DIMENSIONS | SIGMA-MODEL | OPERATOR PRODUCT EXPANSIONS | QUANTUM-FIELD-THEORY | CRITICAL EXPONENTS | CONFORMAL SYMMETRY | O(N) VECTOR MODEL | ANOMALOUS DIMENSIONS | RENORMALIZATION-GROUP FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Anisotropy | Mathematical analysis | Operators | Symmetry | High Energy Physics - Phenomenology | Condensed Matter - Strongly Correlated Electrons | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 05/2017, Volume 2017, Issue 5, pp. 1 - 68

We describe in more detail our approach to the conformal bootstrap which uses the Mellin representation of CFTd four point functions and expands them in terms...

AdS-CFT Correspondence | Conformal Field Theory | 4-EPSILON DIMENSIONS | PHI-THEORY | QUANTUM-FIELD-THEORY | CRITICAL EXPONENTS | SYMMETRY | N-VECTOR MODEL | OPERATOR PRODUCT EXPANSION | SPECTRUM | ANOMALOUS DIMENSIONS | RENORMALIZATION-GROUP FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Ising model | Mathematical models | High Energy Physics - Phenomenology | Condensed Matter - Strongly Correlated Electrons | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

AdS-CFT Correspondence | Conformal Field Theory | 4-EPSILON DIMENSIONS | PHI-THEORY | QUANTUM-FIELD-THEORY | CRITICAL EXPONENTS | SYMMETRY | N-VECTOR MODEL | OPERATOR PRODUCT EXPANSION | SPECTRUM | ANOMALOUS DIMENSIONS | RENORMALIZATION-GROUP FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Ising model | Mathematical models | High Energy Physics - Phenomenology | Condensed Matter - Strongly Correlated Electrons | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | High Energy Physics - Theory

Journal Article

Physical Review Letters, ISSN 0031-9007, 02/2017, Volume 118, Issue 8, p. 081601

We propose a new approach towards analytically solving for the dynamical content of conformal field theories (CFTs) using the bootstrap philosophy. This...

DIMENSIONS | SYMMETRY | VECTOR MODEL | PHYSICS, MULTIDISCIPLINARY | QUANTUM-FIELD-THEORY | CRITICAL EXPONENTS | Exchange | Operators | Mathematical analysis | Consistency | Mathematical models | Feynman diagrams | Three dimensional models | Channels

DIMENSIONS | SYMMETRY | VECTOR MODEL | PHYSICS, MULTIDISCIPLINARY | QUANTUM-FIELD-THEORY | CRITICAL EXPONENTS | Exchange | Operators | Mathematical analysis | Consistency | Mathematical models | Feynman diagrams | Three dimensional models | Channels

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2016, Volume 49, Issue 44, p. 445401

In order to achieve a better analytic handle on the modern conformal bootstrap program, we re-examine and extend the pioneering 1974 work of Polyakov's, which...

operator product expansion | conformal field theory | conformal bootstrap | statistical mechanics | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | EXPANSIONS | N-VECTOR MODEL | 4-EPSILON DIMENSIONS | PHYSICS, MATHEMATICAL

operator product expansion | conformal field theory | conformal bootstrap | statistical mechanics | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | EXPANSIONS | N-VECTOR MODEL | 4-EPSILON DIMENSIONS | PHYSICS, MATHEMATICAL

Journal Article

Physical Review D, ISSN 2470-0010, 05/2016, Volume 93, Issue 10

We show that for a general four derivative theory of gravity, only the holographic entanglement entropy functionals obey the second law at linearized order in...

BLACK-HOLE ENTROPY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Gravitation | Functionals | Perturbation methods | Mathematical analysis | Entanglement | Entropy | Curvature | Channels

BLACK-HOLE ENTROPY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Gravitation | Functionals | Perturbation methods | Mathematical analysis | Entanglement | Entropy | Curvature | Channels

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2015, Volume 2015, Issue 11, pp. 1 - 33

We use analytic conformal bootstrap methods to determine the anomalous dimensions and OPE coefficients for large spin operators in general conformal field...

Gauge-gravity correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | CONFORMAL PARTIAL-WAVES | ADS/CFT | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | Gravity | Integers | Exchange | Operators | Mathematical analysis | Scattering | Scalars | Field theory | Gravitons | Physics - High Energy Physics - Theory | Centre for High Energy Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

Gauge-gravity correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | CONFORMAL PARTIAL-WAVES | ADS/CFT | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | Gravity | Integers | Exchange | Operators | Mathematical analysis | Scattering | Scalars | Field theory | Gravitons | Physics - High Energy Physics - Theory | Centre for High Energy Physics | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Physics Letters B, ISSN 0370-2693, 06/2015, Volume 746, pp. 285 - 292

In this paper we consider the issue of the Froissart bound on the high energy behaviour of total cross sections. This bound, originally derived using...

ROOT-S | LHC | ASTRONOMY & ASTROPHYSICS | ELASTIC-SCATTERING | ROOT-S=546 | TOTAL CROSS-SECTION | COLLIDER | RATIO | PHYSICS, NUCLEAR | AMPLITUDES | SATURATION | PHYSICS, PARTICLES & FIELDS | High Energy Physics - Phenomenology | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics

ROOT-S | LHC | ASTRONOMY & ASTROPHYSICS | ELASTIC-SCATTERING | ROOT-S=546 | TOTAL CROSS-SECTION | COLLIDER | RATIO | PHYSICS, NUCLEAR | AMPLITUDES | SATURATION | PHYSICS, PARTICLES & FIELDS | High Energy Physics - Phenomenology | Nuclear and High Energy Physics | High Energy Physics - Theory | Physics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2015, Volume 2015, Issue 7, pp. 1 - 22

In this paper we consider anomalous dimensions of double trace operators at large spin (ℓ) and large twist (τ) in CFTs in arbitrary dimensions (d ≥ 3). Using...

Gauge-gravity correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | CONFORMAL PARTIAL-WAVES | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | Gravity | Operators | Approximation | Mathematical analysis | Exact solutions | Holography | Derivation | Scalars | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Gauge-gravity correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | CONFORMAL PARTIAL-WAVES | SUPERCONFORMAL SYMMETRY | PHYSICS, PARTICLES & FIELDS | Gravity | Operators | Approximation | Mathematical analysis | Exact solutions | Holography | Derivation | Scalars | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Scientific Reports, ISSN 2045-2322, 05/2015, Volume 5, Issue 1, p. 10304

The superposition principle is usually incorrectly applied in interference experiments. This has recently been investigated through numerics based on Finite...

QUANTUM-MECHANICS | MULTIDISCIPLINARY SCIENCES | Integration | Mathematical models | Experiments | Interference | Physics - Quantum Physics

QUANTUM-MECHANICS | MULTIDISCIPLINARY SCIENCES | Integration | Mathematical models | Experiments | Interference | Physics - Quantum Physics

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 03/2015, Volume 32, Issue 6, pp. 65006 - 65034

Using the positivity of relative entropy arising from the Ryu-Takayanagi formula for spherical entangling surfaces, we obtain constraints at the nonlinear...

holography | AdS/CFT | entanglement | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Stress tensors | Gravitation | Mathematical analysis | Nonlinearity | Entanglement | Entropy | Derivatives | Quantum gravity

holography | AdS/CFT | entanglement | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Stress tensors | Gravitation | Mathematical analysis | Nonlinearity | Entanglement | Entropy | Derivatives | Quantum gravity

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2015, Volume 2015, Issue 1, pp. 1 - 76

We consider a system consisting of 5 dimensional gravity with a negative cosmological constant coupled to a massless scalar, the dilaton. We construct a black...

Holography and condensed matter physics (AdS/CMT) | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SHEAR VISCOSITY | FIELD-THEORY | GRAVITY | BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | Holography | Specific gravity | Anisotropy | Physics - High Energy Physics - Theory | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | High Energy Physics - Theory

Holography and condensed matter physics (AdS/CMT) | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | SHEAR VISCOSITY | FIELD-THEORY | GRAVITY | BLACK-HOLES | PHYSICS, PARTICLES & FIELDS | Holography | Specific gravity | Anisotropy | Physics - High Energy Physics - Theory | General Relativity and Quantum Cosmology | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 7/2014, Volume 2014, Issue 7, pp. 1 - 39

We calculate one, two and three point functions of the holographic stress tensor for any bulk Lagrangian of the form ℒ(g ab , R abcd , ∇ e R abcd ). Using the...

Gauge-gravity correspondence | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ENERGY | YANG-MILLS | C-THEOREM | ANOMALIES | GENERAL DIMENSIONS | HIGHER-DERIVATIVE GRAVITY | ADS/CFT CORRESPONDENCE | VISCOSITY | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Gravity

Gauge-gravity correspondence | AdS-CFT Correspondence | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ENERGY | YANG-MILLS | C-THEOREM | ANOMALIES | GENERAL DIMENSIONS | HIGHER-DERIVATIVE GRAVITY | ADS/CFT CORRESPONDENCE | VISCOSITY | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Gravity

Journal Article