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An Analogue of the Coleman–Mandula Theorem for Quantum Field Theory in Curved Spacetimes

Communications in Mathematical Physics, ISSN 0010-3616, 1/2018, Volume 357, Issue 1, pp. 353 - 378

The Coleman–Mandula (CM) theorem states that the Poincaré and internal symmetries of a Minkowski spacetime quantum field theory cannot combine nontrivially in...

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | S-MATRIX | LOCALITY | SYMMETRIES | EXTENSIONS | TIME ORDERED PRODUCTS | COVARIANCE | PHYSICS, MATHEMATICAL

Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | S-MATRIX | LOCALITY | SYMMETRIES | EXTENSIONS | TIME ORDERED PRODUCTS | COVARIANCE | PHYSICS, MATHEMATICAL

Journal Article

08/2015, 1st ed. 2016, SpringerBriefs in Mathematical Physics, ISBN 9783319218939, Volume 6, 129

This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in...

Physics | Cosmology | Quantum Field Theories, String Theory | Mathematical Physics | Quantum field theory | Algebra

Physics | Cosmology | Quantum Field Theories, String Theory | Mathematical Physics | Quantum field theory | Algebra

eBook

Reviews in Mathematical Physics, ISSN 0129-055X, 04/2005, Volume 17, Issue 3, pp. 227 - 311

We propose additional conditions (beyond those considered in our previous papers) that should be imposed on Wick products and time-ordered products of a free...

Perturbation theory | Renormalization theory | Stress tensor | Quantum field theory on curved space | renormalization theory | perturbation theory | OPERATOR | stress tensor | quantum field theory on curved space | TIME ORDERED PRODUCTS | PHYSICS, MATHEMATICAL | WICK POLYNOMIALS | RENORMALIZATION

Perturbation theory | Renormalization theory | Stress tensor | Quantum field theory on curved space | renormalization theory | perturbation theory | OPERATOR | stress tensor | quantum field theory on curved space | TIME ORDERED PRODUCTS | PHYSICS, MATHEMATICAL | WICK POLYNOMIALS | RENORMALIZATION

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 09/2013, Volume 30, Issue 17, pp. 175015 - 52

By conformally coupling vector and hyper multiplets in Minkowski space, we obtain a class of field theories with extended rigid conformal supersymmetry on any...

KILLING SPINORS | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | WICK POLYNOMIALS | COHOMOLOGY | ASTRONOMY & ASTROPHYSICS | CONSTRUCTION | YANG-MILLS THEORIES | MANIFOLDS | TIME ORDERED PRODUCTS | EQUATION | RENORMALIZATION | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Operators | Construction | Byproducts | Quantum gravity | Quantum theory | Curved | Symmetry

KILLING SPINORS | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | WICK POLYNOMIALS | COHOMOLOGY | ASTRONOMY & ASTROPHYSICS | CONSTRUCTION | YANG-MILLS THEORIES | MANIFOLDS | TIME ORDERED PRODUCTS | EQUATION | RENORMALIZATION | GEOMETRY | PHYSICS, PARTICLES & FIELDS | Supersymmetry | Operators | Construction | Byproducts | Quantum gravity | Quantum theory | Curved | Symmetry

Journal Article

1994, Chicago lectures in physics., ISBN 0226870251, xiii, 205

Book

Communications in Mathematical Physics, ISSN 0010-3616, 2009, Volume 293, Issue 1, pp. 85 - 125

The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features-such as Poincar, invariance and the existence of a preferred...

EXISTENCE | PERTURBATION-THEORY | OPERATOR PRODUCT EXPANSION | TIME ORDERED PRODUCTS | PHYSICS, MATHEMATICAL | WICK POLYNOMIALS | Analysis | Universities and colleges | Physics - General Relativity and Quantum Cosmology

EXISTENCE | PERTURBATION-THEORY | OPERATOR PRODUCT EXPANSION | TIME ORDERED PRODUCTS | PHYSICS, MATHEMATICAL | WICK POLYNOMIALS | Analysis | Universities and colleges | Physics - General Relativity and Quantum Cosmology

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 01/2014, Volume 31, Issue 2, p. 25024

We present a modification of the recently proposed Sorkin-Johnston states for scalar free quantum fields on a class of globally hyperbolic spacetimes...

Hadamard states | quantum field theory in curved spacetimes | ENERGY | 2-POINT FUNCTION | PHYSICS, MULTIDISCIPLINARY | SINGULARITY STRUCTURE | ASTRONOMY & ASTROPHYSICS | TIME | DYNAMICAL LOCALITY | PHYSICS, PARTICLES & FIELDS | Scalars | Commutators | Smoothing | Quantum gravity | Curved

Hadamard states | quantum field theory in curved spacetimes | ENERGY | 2-POINT FUNCTION | PHYSICS, MULTIDISCIPLINARY | SINGULARITY STRUCTURE | ASTRONOMY & ASTROPHYSICS | TIME | DYNAMICAL LOCALITY | PHYSICS, PARTICLES & FIELDS | Scalars | Commutators | Smoothing | Quantum gravity | Curved

Journal Article

2009, Cambridge monographs on mathematical physics, ISBN 0521877873, xiv, 455

Quantum field theory in curved spacetime has been remarkably fruitful. It can be used to explain how the large-scale structure of the universe and the...

Space and time | Relativity (Physics) | Quantum field theory | Particles (Nuclear physics)

Space and time | Relativity (Physics) | Quantum field theory | Particles (Nuclear physics)

Book

International Journal of Modern Physics D, ISSN 0218-2718, 08/2018, Volume 27, Issue 11, p. 1843001

In quantum-field theory in curved spacetime, two important physical quantities are the expectation value of the stress-energy tensor 〈 T ̂ μ ν 〉 and of the...

Bertotti-Robinson spacetime | quantum-field theory in curved spacetime | Renormalization | TENSOR | ASTRONOMY & ASTROPHYSICS | SCHWARZSCHILD SPACETIME | PHI-2

Bertotti-Robinson spacetime | quantum-field theory in curved spacetime | Renormalization | TENSOR | ASTRONOMY & ASTROPHYSICS | SCHWARZSCHILD SPACETIME | PHI-2

Journal Article

Physics Letters B, ISSN 0370-2693, 10/2019, Volume 797, p. 134912

We show that there exist solutions to the semi-classical gravity equations in de Sitter spacetime sourced by the renormalised stress-energy tensor of a free...

Semi-classical gravity | de Sitter spacetime | Cosmological constant problem | Quantum field theory in curved spacetimes | STRESS TENSOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | TIME ORDERED PRODUCTS | QUANTUM-FIELD-THEORY | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS

Semi-classical gravity | de Sitter spacetime | Cosmological constant problem | Quantum field theory in curved spacetimes | STRESS TENSOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | TIME ORDERED PRODUCTS | QUANTUM-FIELD-THEORY | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 03/2014, Volume 31, Issue 6, p. 63001

The AdS/CFT correspondence relates certain strongly-coupled CFTs with large effective central charge ceff to semi-classical gravitational theories with AdS...

gravitational aspects of string theory | thermodynamics | quantum aspects of black holes | gauge/string duality | evaporation | STRINGS | ENERGY | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | GRAVITY | BLACK-HOLES | ASTRONOMY & ASTROPHYSICS | PHASE-TRANSITION | MASS | STATIONARY | PHYSICS, PARTICLES & FIELDS | Gravitation | Asymptotic properties | Mathematical analysis | Thermal conductivity | Joining | Droplets | Transport | Quantum gravity

gravitational aspects of string theory | thermodynamics | quantum aspects of black holes | gauge/string duality | evaporation | STRINGS | ENERGY | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | GRAVITY | BLACK-HOLES | ASTRONOMY & ASTROPHYSICS | PHASE-TRANSITION | MASS | STATIONARY | PHYSICS, PARTICLES & FIELDS | Gravitation | Asymptotic properties | Mathematical analysis | Thermal conductivity | Joining | Droplets | Transport | Quantum gravity

Journal Article

2016, SpringerBriefs in Mathematical Physics

This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in...

Quantum field theory | Physics

Quantum field theory | Physics

eBook

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Curved spacetime effective field theory (cEFT) — construction with the heat kernel method

Journal of High Energy Physics, ISSN 1126-6708, 1/2019, Volume 2019, Issue 1, pp. 1 - 28

In the presented paper we tackle the problem of the effective field theory in curved spacetime (cEFT) construction. To this end, we propose to use the heat...

Beyond Standard Model | Classical Theories of Gravity | Quantum Physics | Quantum Field Theories, String Theory | Effective Field Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INTERACTING THEORIES | EARLY UNIVERSE | VACUUM POLARIZATION | PARTICLE-PRODUCTION | SCALAR | GRAVITY | BARYOGENESIS | PHYSICS, PARTICLES & FIELDS | Field theory | Mathematical analysis | Spacetime | Relativity

Beyond Standard Model | Classical Theories of Gravity | Quantum Physics | Quantum Field Theories, String Theory | Effective Field Theories | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | INTERACTING THEORIES | EARLY UNIVERSE | VACUUM POLARIZATION | PARTICLE-PRODUCTION | SCALAR | GRAVITY | BARYOGENESIS | PHYSICS, PARTICLES & FIELDS | Field theory | Mathematical analysis | Spacetime | Relativity

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2014, Volume 90, Issue 2

The solutions of many issues, of the ongoing efforts to make deformed graphene a tabletop quantum field theory in curved spacetimes, are presented. A detailed...

ELECTRONIC-PROPERTIES | DETECTORS | DEFECTS | TEMPERATURE | ASTRONOMY & ASTROPHYSICS | CURVATURE | BLACK-HOLE | PHYSICS, PARTICLES & FIELDS

ELECTRONIC-PROPERTIES | DETECTORS | DEFECTS | TEMPERATURE | ASTRONOMY & ASTROPHYSICS | CURVATURE | BLACK-HOLE | PHYSICS, PARTICLES & FIELDS

Journal Article

Physics Letters B, ISSN 0370-2693, 01/2013, Volume 718, Issue 4-5, pp. 1465 - 1470

It is well known that coupling a spin- field to a gravitational or electromagnetic background leads to potential problems both in the classical and in the...

Spin [formula omitted] | Higher spin fields | Causality | Quantum field theory in curved spacetimes | Rarita–Schwinger equation | Unitarity | Rarita-Schwinger equation | Spin 32 | SUPERGRAVITY | PARTICLES | RELATIVISTIC WAVE-EQUATIONS | CAUCHY-PROBLEM | PHYSICS, NUCLEAR | PRINCIPLE | HIGHER SPINS | ASTRONOMY & ASTROPHYSICS | COMPATIBILITY | Spin 3/2 | PROPAGATION | PHYSICS, PARTICLES & FIELDS | Electromagnetism | Analysis | Quantum theory | Gravity

Spin [formula omitted] | Higher spin fields | Causality | Quantum field theory in curved spacetimes | Rarita–Schwinger equation | Unitarity | Rarita-Schwinger equation | Spin 32 | SUPERGRAVITY | PARTICLES | RELATIVISTIC WAVE-EQUATIONS | CAUCHY-PROBLEM | PHYSICS, NUCLEAR | PRINCIPLE | HIGHER SPINS | ASTRONOMY & ASTROPHYSICS | COMPATIBILITY | Spin 3/2 | PROPAGATION | PHYSICS, PARTICLES & FIELDS | Electromagnetism | Analysis | Quantum theory | Gravity

Journal Article

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Full Text
Boundary divergences in vacuum self-energies and quantum field theory in curved spacetime

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2011, Volume 84, Issue 12

It is well known that boundary conditions on quantum fields produce divergences in the renormalized energy-momentum tensor near the boundaries. Although...

ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 01/2015, Volume 32, Issue 1, pp. 15013 - 15043

We construct a state in the Schwarzschild-de Sitter spacetime which is invariant under the action of its group of symmetries. Our state is not defined in the...

KMS states | Hadamard states | quantum field theory in curved spacetimes | MICROLOCAL SPECTRUM CONDITION | PHYSICS, MULTIDISCIPLINARY | HORIZONS | PROPERTY | QUANTUM-FIELD THEORY | WICK POLYNOMIALS | PARTICLE CREATION | TEMPERATURE | ASTRONOMY & ASTROPHYSICS | CURVED SPACETIME | TIME ORDERED PRODUCTS | MANIFOLD | PHYSICS, PARTICLES & FIELDS | Construction | Event horizon | Quantum gravity | Invariants | Symmetry

KMS states | Hadamard states | quantum field theory in curved spacetimes | MICROLOCAL SPECTRUM CONDITION | PHYSICS, MULTIDISCIPLINARY | HORIZONS | PROPERTY | QUANTUM-FIELD THEORY | WICK POLYNOMIALS | PARTICLE CREATION | TEMPERATURE | ASTRONOMY & ASTROPHYSICS | CURVED SPACETIME | TIME ORDERED PRODUCTS | MANIFOLD | PHYSICS, PARTICLES & FIELDS | Construction | Event horizon | Quantum gravity | Invariants | Symmetry

Journal Article

2009, Cambridge monographs on mathematical physics, ISBN 9780521877879

Web Resource

International Journal of Modern Physics D, ISSN 0218-2718, 08/2018, Volume 27, Issue 11, p. 1843007

Quantum field theory (QFT) on curved spacetimes lacks an obvious distinguished vacuum state. We review a recent no-go theorem that establishes the...

preferred state | Quantum field theory in curved spacetimes | Hadamard states | ORDERED PRODUCTS | HADAMARD PROPERTY | QUANTUM-FIELD THEORY | WICK POLYNOMIALS | MICROLOCAL ANALYSIS | GLOBALLY HYPERBOLIC SPACETIMES | LOCALITY | WEAK ENERGY INEQUALITY | ASTRONOMY & ASTROPHYSICS | CONSTRUCTION | CURVED SPACE-TIME | Physics - General Relativity and Quantum Cosmology

preferred state | Quantum field theory in curved spacetimes | Hadamard states | ORDERED PRODUCTS | HADAMARD PROPERTY | QUANTUM-FIELD THEORY | WICK POLYNOMIALS | MICROLOCAL ANALYSIS | GLOBALLY HYPERBOLIC SPACETIMES | LOCALITY | WEAK ENERGY INEQUALITY | ASTRONOMY & ASTROPHYSICS | CONSTRUCTION | CURVED SPACE-TIME | Physics - General Relativity and Quantum Cosmology

Journal Article

PHYSICAL REVIEW D, ISSN 2470-0010, 11/2019, Volume 100, Issue 10

We study a free scalar field. in a fixed curved background spacetime subject to a higher derivative field equation of the form F(rectangle)phi = 0, where F is...

EQUATIONS | RIEMANNIAN METHOD | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

EQUATIONS | RIEMANNIAN METHOD | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

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