Physics Reports, ISSN 0370-1573, 03/2015, Volume 569, pp. 1 - 93

In this review article, we discuss the distinction and possible equivalence between scale invariance and conformal invariance in relativistic quantum field...

Holography | Scale invariance | Conformal invariance | Renormalization group | PHYSICS, MULTIDISCIPLINARY | C-THEOREM | TRACE ANOMALIES | CONSERVED-CURRENTS | STRING THEORY | ENTANGLEMENT ENTROPY | PERTURBATION-THEORY | ENERGY-MOMENTUM TENSOR | NONLOCAL ACTION | IN-FIELD THEORIES | LOCAL RENORMALIZATION-GROUP

Holography | Scale invariance | Conformal invariance | Renormalization group | PHYSICS, MULTIDISCIPLINARY | C-THEOREM | TRACE ANOMALIES | CONSERVED-CURRENTS | STRING THEORY | ENTANGLEMENT ENTROPY | PERTURBATION-THEORY | ENERGY-MOMENTUM TENSOR | NONLOCAL ACTION | IN-FIELD THEORIES | LOCAL RENORMALIZATION-GROUP

Journal Article

2012, Lecture notes in physics, ISBN 3642279341, Volume 853.

Web Resource

Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, 10/2015, Volume 2015, Issue 10, pp. 67 - 67

The invariance of physical observables under disformal transformations is considered. It is known that conformal transformations leave physical observables...

cosmological perturbation theory | inflation | cosmology of theories beyond the SM | VARYING SPEED | ASTRONOMY & ASTROPHYSICS | LIGHT | DARK ENERGY | MODEL | MODIFIED GRAVITY | PHYSICS, PARTICLES & FIELDS | CONFORMAL INVARIANCE | VELOCITY | COSMOLOGY | DISTURBANCES | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | COMPARATIVE EVALUATIONS | TRANSFORMATIONS | GRAVITATIONAL FIELDS

cosmological perturbation theory | inflation | cosmology of theories beyond the SM | VARYING SPEED | ASTRONOMY & ASTROPHYSICS | LIGHT | DARK ENERGY | MODEL | MODIFIED GRAVITY | PHYSICS, PARTICLES & FIELDS | CONFORMAL INVARIANCE | VELOCITY | COSMOLOGY | DISTURBANCES | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | COMPARATIVE EVALUATIONS | TRANSFORMATIONS | GRAVITATIONAL FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2013, Volume 2013, Issue 1, pp. 1 - 32

There is a widely held belief that conformal field theories (CFTs) require zero beta functions. Nevertheless, the work of Jack and Osborn implies that the beta...

Space-Time Symmetries | Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | 4 DIMENSIONS | C-THEOREM | CONSEQUENCES | RENORMALIZABLE FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Asymptotic properties | Mathematical analysis | Consistency | Byproducts | Mathematical models | Fields (mathematics) | Invariance | Physics - High Energy Physics - Theory

Space-Time Symmetries | Quantum Physics | Renormalization Group | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | 4 DIMENSIONS | C-THEOREM | CONSEQUENCES | RENORMALIZABLE FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Asymptotic properties | Mathematical analysis | Consistency | Byproducts | Mathematical models | Fields (mathematics) | Invariance | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1029-8479, 7/2019, Volume 2019, Issue 7, pp. 1 - 38

We construct the characters for the highest weight representations of the 3d Bondi-Metzner-Sachs (BMS3) algebra. We reproduce our character formula by looking...

Black Holes | Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ASYMPTOTIC SYMMETRIES | PHYSICS, PARTICLES & FIELDS | Algebra | Modular construction | Partitions (mathematics) | Fuel consumption | Entropy | Representations | Automorphisms | Physics - High Energy Physics - Theory

Black Holes | Conformal Field Theory | AdS-CFT Correspondence | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ASYMPTOTIC SYMMETRIES | PHYSICS, PARTICLES & FIELDS | Algebra | Modular construction | Partitions (mathematics) | Fuel consumption | Entropy | Representations | Automorphisms | Physics - High Energy Physics - Theory

Journal Article

1988, ISBN 9789971506063, xi, 979

Book

Journal of High Energy Physics, ISSN 1126-6708, 3/2014, Volume 2014, Issue 3, pp. 1 - 105

We present a comprehensive analysis of the implications of conformal invariance for 3-point functions of the stress-energy tensor, conserved currents and...

Space-Time Symmetries | Anomalies in Field and String Theories | Renormalization Regularization and Renormalons | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Anomalies in field and string theories | Conformal and W symmetry | Renormalization regularization and renormalons | Space-time symmetries | FIELD-THEORY | CONSERVED-CURRENTS | SITTER | INTEGRALS | TENSOR | SYMMETRY | GENERAL DIMENSIONS | OPERATOR PRODUCT EXPANSION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Tensors | Integrals | Mathematical analysis | Scalars | Mathematical models | Correlators | Invariance | Form factors | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Space-Time Symmetries | Anomalies in Field and String Theories | Renormalization Regularization and Renormalons | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Anomalies in field and string theories | Conformal and W symmetry | Renormalization regularization and renormalons | Space-time symmetries | FIELD-THEORY | CONSERVED-CURRENTS | SITTER | INTEGRALS | TENSOR | SYMMETRY | GENERAL DIMENSIONS | OPERATOR PRODUCT EXPANSION | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Tensors | Integrals | Mathematical analysis | Scalars | Mathematical models | Correlators | Invariance | Form factors | Physics - High Energy Physics - Theory | Nuclear and High Energy Physics | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2018, Volume 2018, Issue 10, pp. 1 - 43

Combining the quantum scale invariance with the absence of new degrees of freedom above the electroweak scale leads to stability of the latter against...

Solitons Monopoles and Instantons | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | RENORMALIZATION-GROUP | FIELD EQUATIONS | QUANTUM-GRAVITY | SPONTANEOUS SYMMETRY-BREAKING | SPACE | STANDARD MODEL | TENSOR | OPEN INFLATION | CRITICALITY | FLAT | PHYSICS, PARTICLES & FIELDS | Standard model (particle physics) | Scale invariance | Gravitation | Invariance | Configurations | Relativity | Physics - High Energy Physics - Theory

Solitons Monopoles and Instantons | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Elementary Particles, Quantum Field Theory | RENORMALIZATION-GROUP | FIELD EQUATIONS | QUANTUM-GRAVITY | SPONTANEOUS SYMMETRY-BREAKING | SPACE | STANDARD MODEL | TENSOR | OPEN INFLATION | CRITICALITY | FLAT | PHYSICS, PARTICLES & FIELDS | Standard model (particle physics) | Scale invariance | Gravitation | Invariance | Configurations | Relativity | Physics - High Energy Physics - Theory

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 06/2013, Volume 30, Issue 11, pp. 115015 - 22

We consider matter fields conformally coupled to a background metric and dilaton and describe in detail a quantization procedure and related renormalization...

QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | TRACE ANOMALIES | ASTRONOMY & ASTROPHYSICS | EVOLUTION EQUATION | CURVATURE | GRAVITY | FLOW | CONFORMAL ANOMALIES | PHYSICS, PARTICLES & FIELDS | Preserves | Quantization | Joining | Invariance | Dilatons | Quantum gravity | Gravitons | Anomalies

QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | TRACE ANOMALIES | ASTRONOMY & ASTROPHYSICS | EVOLUTION EQUATION | CURVATURE | GRAVITY | FLOW | CONFORMAL ANOMALIES | PHYSICS, PARTICLES & FIELDS | Preserves | Quantization | Joining | Invariance | Dilatons | Quantum gravity | Gravitons | Anomalies

Journal Article

European Physical Journal C, ISSN 1434-6044, 05/2017, Volume 77, Issue 5, pp. 1 - 10

We show that if the alpha-attractor model is realized by the spontaneous breaking of the scale symmetry, then the stability and the dynamics of the vector...

SPACETIMES | SYMMETRY | PERTURBATIONS | CHAOTIC INFLATION | COSMOLOGICAL MODELS | PHASE-TRANSITION | FLATNESS | INFLATIONARY UNIVERSE | HORIZON | MODIFIED GRAVITY | PHYSICS, PARTICLES & FIELDS | Scale invariance | Isotropy | Measuring instruments | Dynamic stability | Universe | Gauges | Symmetry | General Relativity and Quantum Cosmology | Conformal Gravity | Astrophysics | Special Conformal Transformation | Nuclear and particle physics. Atomic energy. Radioactivity | Scale Symmetry | Vector Field | High Energy Physics - Theory | Gauge Field | Astrophysics - Cosmology and Nongalactic Astrophysics

SPACETIMES | SYMMETRY | PERTURBATIONS | CHAOTIC INFLATION | COSMOLOGICAL MODELS | PHASE-TRANSITION | FLATNESS | INFLATIONARY UNIVERSE | HORIZON | MODIFIED GRAVITY | PHYSICS, PARTICLES & FIELDS | Scale invariance | Isotropy | Measuring instruments | Dynamic stability | Universe | Gauges | Symmetry | General Relativity and Quantum Cosmology | Conformal Gravity | Astrophysics | Special Conformal Transformation | Nuclear and particle physics. Atomic energy. Radioactivity | Scale Symmetry | Vector Field | High Energy Physics - Theory | Gauge Field | Astrophysics - Cosmology and Nongalactic Astrophysics

Journal Article

1978, Pubblicazione della Classe di scienze della Scuola normale superiore., v, 273

Book

Nuclear Physics, Section B, ISSN 0550-3213, 2009, Volume 812, Issue 3, pp. 424 - 455

Deser and Nepomechie established a relationship between masslessness and rigid conformal invariance by coupling to a background metric and demanding local Weyl...

SPACE | GAUGED EXTENDED SUPERGRAVITY | COSMOLOGICAL CONSTANT | CONFORMAL SUPERGRAVITY | ARBITRARY SPIN | FIELD-THEORY | STABILITY | SUPERCONFORMAL GROUP | HIGHER SPINS | WAVE-EQUATIONS | PHYSICS, PARTICLES & FIELDS | Agricultural machinery | Farm equipment | Farm tractors | Tractors

SPACE | GAUGED EXTENDED SUPERGRAVITY | COSMOLOGICAL CONSTANT | CONFORMAL SUPERGRAVITY | ARBITRARY SPIN | FIELD-THEORY | STABILITY | SUPERCONFORMAL GROUP | HIGHER SPINS | WAVE-EQUATIONS | PHYSICS, PARTICLES & FIELDS | Agricultural machinery | Farm equipment | Farm tractors | Tractors

Journal Article

Journal of Cosmology and Astroparticle Physics, ISSN 1475-7516, 09/2011, Volume 2011, Issue 9, pp. 023 - 23

We show that in the single component situation all perturbation variables in the comoving gauge are conform ally invariant to all perturbation orders....

cosmological perturbation theory | Modified gravity | inflation | modified gravity | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | CONFORMAL INVARIANCE | COSMOLOGY | DISTURBANCES | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | ASTROPHYSICS | TRANSFORMATIONS

cosmological perturbation theory | Modified gravity | inflation | modified gravity | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | CONFORMAL INVARIANCE | COSMOLOGY | DISTURBANCES | ASTROPHYSICS, COSMOLOGY AND ASTRONOMY | ASTROPHYSICS | TRANSFORMATIONS

Journal Article

Annals of Physics, ISSN 0003-4916, 2006, Volume 321, Issue 1, pp. 197 - 224

We show that the Lagrangian for interacting nonrelativistic particles can be coupled to an external gauge field and metric tensor in a way that exhibits a...

Degenerate Fermi gas | Galilean invariance | Conformal symmetry | Superfluidity | Effective field theory | SUPERCONDUCTIVITY | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | conformal symmetry | CONDENSATION | superfluidity | SCALE | effective field theory | degenerate Fermi gas | FESHBACH RESONANCE | Gas fields | Fluid dynamics | FIELD THEORIES | CONFORMAL INVARIANCE | TENSORS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | SCATTERING LENGTHS | THOMAS-FERMI MODEL | FERMI GAS | HYDRODYNAMICS | COORDINATES | SUPERFLUIDITY | LAGRANGIAN FUNCTION

Degenerate Fermi gas | Galilean invariance | Conformal symmetry | Superfluidity | Effective field theory | SUPERCONDUCTIVITY | PHYSICS, MULTIDISCIPLINARY | FIELD-THEORY | conformal symmetry | CONDENSATION | superfluidity | SCALE | effective field theory | degenerate Fermi gas | FESHBACH RESONANCE | Gas fields | Fluid dynamics | FIELD THEORIES | CONFORMAL INVARIANCE | TENSORS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | SCATTERING LENGTHS | THOMAS-FERMI MODEL | FERMI GAS | HYDRODYNAMICS | COORDINATES | SUPERFLUIDITY | LAGRANGIAN FUNCTION

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2018, Volume 2018, Issue 3, pp. 1 - 14

Long ago, Nemeschansky and Sen demonstrated that the Ricci-flat metric on a Calabi-Yau manifold could be corrected, order by order in perturbation theory, to...

Superstrings and Heterotic Strings | Quantum Physics | Renormalization Group | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | WORLD-SHEET | COMPACTIFICATIONS | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Manifolds | Physics - High Energy Physics - Theory | Symplectic Geometry | Nuclear and particle physics. Atomic energy. Radioactivity | Algebraic Geometry | Mathematics | Differential Geometry | High Energy Physics - Theory

Superstrings and Heterotic Strings | Quantum Physics | Renormalization Group | Conformal Field Models in String Theory | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | WORLD-SHEET | COMPACTIFICATIONS | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Manifolds | Physics - High Energy Physics - Theory | Symplectic Geometry | Nuclear and particle physics. Atomic energy. Radioactivity | Algebraic Geometry | Mathematics | Differential Geometry | High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2015, Volume 2015, Issue 6, pp. 1 - 25

We study the Rényi and entanglement entropies for free 2d CFT’s at finite temperature and finite size, with emphasis on their properties under modular...

Black Holes | Field Theories in Lower Dimensions | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Gaugegravity correspondence | Gauge-gravity correspondence | PHYSICS, PARTICLES & FIELDS | Fermions | Mathematical analysis | Transformations | Entanglement | Entropy | Modular | Spin structure | Bosons | Quantum Gases | Nuclear and High Energy Physics | Condensed Matter | High Energy Physics - Theory

Black Holes | Field Theories in Lower Dimensions | Quantum Physics | Conformal and W Symmetry | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Gaugegravity correspondence | Gauge-gravity correspondence | PHYSICS, PARTICLES & FIELDS | Fermions | Mathematical analysis | Transformations | Entanglement | Entropy | Modular | Spin structure | Bosons | Quantum Gases | Nuclear and High Energy Physics | Condensed Matter | High Energy Physics - Theory

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 09/2018, Volume 934, pp. 498 - 520

Two-dimensional -models corresponding to coset CFTs of the type admit a zoom-in limit involving sending one of the levels, say , to infinity. The result is the...

STRINGS | CFT | DIMENSIONS | LIMITS | WZW MODELS | CONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory | Representation Theory

STRINGS | CFT | DIMENSIONS | LIMITS | WZW MODELS | CONFORMAL FIELD-THEORIES | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Physics - High Energy Physics - Theory | Nuclear and particle physics. Atomic energy. Radioactivity | Mathematics | High Energy Physics - Theory | Representation Theory

Journal Article