Philosophical Transactions: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 8/2015, Volume 373, Issue 2047, pp. 1 - 16

The framework of locally covariant quantum field theory is discussed, motivated in part using 'ignorance principles'. It is shown how theories can be...

Journal Article

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-503X, 08/2015, Volume 373, Issue 2047, p. 20140238

The framework of locally covariant quantum field theory is discussed, motivated in part using 'ignorance principles'. It is shown how theories can be...

Local covariance | Axiomatic quantum field theory | Quantum field theory in curved space-times | BACKGROUNDS | axiomatic quantum field theory | MICROLOCAL ANALYSIS | local covariance | MULTIDISCIPLINARY SCIENCES | quantum field theory in curved space-times | CURVED SPACETIME | MANIFOLDS | SCALAR FIELD | DYNAMICAL LOCALITY | WICK POLYNOMIALS

Local covariance | Axiomatic quantum field theory | Quantum field theory in curved space-times | BACKGROUNDS | axiomatic quantum field theory | MICROLOCAL ANALYSIS | local covariance | MULTIDISCIPLINARY SCIENCES | quantum field theory in curved space-times | CURVED SPACETIME | MANIFOLDS | SCALAR FIELD | DYNAMICAL LOCALITY | WICK POLYNOMIALS

Journal Article

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

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, ISSN 0025-5858, 10/2016, Volume 86, Issue 2, pp. 153 - 175

The split property expresses a strong form of independence of spacelike separated regions in algebraic quantum field theory. In Minkowski spacetime, it can be...

Split property | Local covariance | Mathematics | Nuclearity | Topology | 81T05 | Geometry | Quantum energy inequalities | Algebra | 81T20 | Mathematics, general | Number Theory | Differential Geometry | DENSITY | MATHEMATICS | CAUSAL INDEPENDENCE | MODELS | LOCAL ALGEBRAS | PRODUCT STATES | EQUILIBRIUM STATES

Split property | Local covariance | Mathematics | Nuclearity | Topology | 81T05 | Geometry | Quantum energy inequalities | Algebra | 81T20 | Mathematics, general | Number Theory | Differential Geometry | DENSITY | MATHEMATICS | CAUSAL INDEPENDENCE | MODELS | LOCAL ALGEBRAS | PRODUCT STATES | EQUILIBRIUM STATES

Journal Article

5.
Full Text
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

Electronic Journal of Combinatorics, ISSN 1077-8926, 10/2014, Volume 21, Issue 4

Motivated by a problem in quantum field theory, we study the up and down structure of circular and linear permutations. In particular, we count the length of...

Enumerative combinatorics | Permutations | MATHEMATICS | MATHEMATICS, APPLIED

Enumerative combinatorics | Permutations | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 4/2019, Volume 109, Issue 4, pp. 747 - 780

The vacuum state—or any other state of finite energy—is not an eigenstate of any smeared (averaged) local quantum field. The outcomes (spectral values) of...

Conformal field theory | Probability distributions | 60E10 | Theoretical, Mathematical and Computational Physics | Complex Systems | 30C62 | Physics | 44A60 | Geometry | Quantum energy inequalities | Conformal welding | Group Theory and Generalizations | Moment problems | 81T40 | INEQUALITIES | REPRESENTATIONS | PHYSICS, MATHEMATICAL | Welding | Analysis | Distribution (Probability theory)

Conformal field theory | Probability distributions | 60E10 | Theoretical, Mathematical and Computational Physics | Complex Systems | 30C62 | Physics | 44A60 | Geometry | Quantum energy inequalities | Conformal welding | Group Theory and Generalizations | Moment problems | 81T40 | INEQUALITIES | REPRESENTATIONS | PHYSICS, MATHEMATICAL | Welding | Analysis | Distribution (Probability theory)

Journal Article

Physical Review D, ISSN 2470-0010, 01/2020, Volume 101, Issue 2

Journal Article

General Relativity and Gravitation, ISSN 0001-7701, 5/2014, Volume 46, Issue 5, pp. 1 - 13

The talks given in parallel session D4 are summarized.

Semiclassical gravity | Quantum gravity phenomenology | Theoretical, Mathematical and Computational Physics | Cosmology | Analogue models of gravity | Quantum Physics | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Quantum field theory in curved spacetimes | Physics | Astronomy, Astrophysics and Cosmology | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | RADIATION | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity

Semiclassical gravity | Quantum gravity phenomenology | Theoretical, Mathematical and Computational Physics | Cosmology | Analogue models of gravity | Quantum Physics | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Quantum field theory in curved spacetimes | Physics | Astronomy, Astrophysics and Cosmology | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | RADIATION | PHYSICS, PARTICLES & FIELDS | Analysis | Gravity

Journal Article

International Journal of Modern Physics D, ISSN 0218-2718, 05/2016, Volume 25, Issue 6, p. 1630015

The framework of locally covariant quantum field theory (QFT), an axiomatic approach to QFT in curved spacetime (CST), is reviewed. As a specific focus, the...

Spin-statistics theorem | quantum field theory in curved spacetimes | EXISTENCE | S-MATRIX | PROPERTY | ASTRONOMY & ASTROPHYSICS | TIME ORDERED PRODUCTS | DYNAMICAL LOCALITY

Spin-statistics theorem | quantum field theory in curved spacetimes | EXISTENCE | S-MATRIX | PROPERTY | ASTRONOMY & ASTROPHYSICS | TIME ORDERED PRODUCTS | DYNAMICAL LOCALITY

Journal Article

11.
Full Text
Probability distributions for quantum stress tensors measured in a finite time interval

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 11/2015, Volume 92, Issue 10

A meaningful probability distribution for measurements of a quantum stress tensor operator can only be obtained if the operator is averaged in time or in...

INEQUALITIES | FLUCTUATIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Intervals | Stress concentration | Stress tensors | Operators | Asymptotic properties | Mathematical analysis | Fluctuation | Estimates

INEQUALITIES | FLUCTUATIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Intervals | Stress concentration | Stress tensors | Operators | Asymptotic properties | Mathematical analysis | Fluctuation | Estimates

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 12/2013, Volume 30, Issue 23, pp. 235027 - np

Hadamard states are generally considered as the physical states for linear quantized fields on curved spacetimes, for several good reasons. Here, we provide a...

PHYSICS, MULTIDISCIPLINARY | OBSERVABLES | INEQUALITY | QUANTUM-FIELD THEORY | HORIZON | MICROLOCAL ANALYSIS | ALGEBRAS | THEOREMS | ASTRONOMY & ASTROPHYSICS | CURVED SPACETIME | TIME ORDERED PRODUCTS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Wicks | Utilities | Mathematical analysis | Fluctuation | Boundaries | Density | Quantum gravity | Constraining

PHYSICS, MULTIDISCIPLINARY | OBSERVABLES | INEQUALITY | QUANTUM-FIELD THEORY | HORIZON | MICROLOCAL ANALYSIS | ALGEBRAS | THEOREMS | ASTRONOMY & ASTROPHYSICS | CURVED SPACETIME | TIME ORDERED PRODUCTS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS | Wicks | Utilities | Mathematical analysis | Fluctuation | Boundaries | Density | Quantum gravity | Constraining

Journal Article

Reviews in Mathematical Physics, ISSN 0129-055X, 06/2013, Volume 25, Issue 5, p. 1350008

In the framework of locally covariant quantum field theory, a theory is described as a functor from a category of spacetimes to a category of *-algebras. It is...

local covariance | Quantum field theory | BACKGROUNDS | PHASE-SPACE | GAUGE TRANSFORMATIONS | OBSERVABLES | VONNEUMANN-ALGEBRAS | PHYSICS, MATHEMATICAL | TRIVIAL SUPERSELECTION STRUCTURE | CURVED SPACE-TIME | TIME ORDERED PRODUCTS | DYNAMICAL LOCALITY | FREE SCALAR FIELD

local covariance | Quantum field theory | BACKGROUNDS | PHASE-SPACE | GAUGE TRANSFORMATIONS | OBSERVABLES | VONNEUMANN-ALGEBRAS | PHYSICS, MATHEMATICAL | TRIVIAL SUPERSELECTION STRUCTURE | CURVED SPACE-TIME | TIME ORDERED PRODUCTS | DYNAMICAL LOCALITY | FREE SCALAR FIELD

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 12/2015, Volume 105, Issue 12, pp. 1633 - 1661

The split property expresses the way in which local regions of spacetime define subsystems of a quantum field theory. It is known to hold for general theories...

Geometry | 81T20 | local covariance | Theoretical, Mathematical and Computational Physics | Reeh–Schlieder theorem | Group Theory and Generalizations | Statistical Physics, Dynamical Systems and Complexity | 81T05 | split property | Physics | NUCLEARITY | Reeh-Schlieder theorem | PHYSICS, MATHEMATICAL | REEH-SCHLIEDER PROPERTY | EQUILIBRIUM STATES | QUASIEQUIVALENCE | Algebra

Geometry | 81T20 | local covariance | Theoretical, Mathematical and Computational Physics | Reeh–Schlieder theorem | Group Theory and Generalizations | Statistical Physics, Dynamical Systems and Complexity | 81T05 | split property | Physics | NUCLEARITY | Reeh-Schlieder theorem | PHYSICS, MATHEMATICAL | REEH-SCHLIEDER PROPERTY | EQUILIBRIUM STATES | QUASIEQUIVALENCE | Algebra

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 07/2016, Volume 33, Issue 16, pp. 165003 - 165027

How long does a uniformly accelerated observer need to interact with a quantum field in order to record thermality in the Unruh temperature? We address this...

Unruh effect | Unruh-DeWitt detector | approach to detailed balance | DEWITT DETECTOR | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | QUANTUM | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Intervals | Time dependence | Detectors | Decay | Black holes (astronomy) | Constants | Polynomials | Quantum gravity

Unruh effect | Unruh-DeWitt detector | approach to detailed balance | DEWITT DETECTOR | QUANTUM SCIENCE & TECHNOLOGY | PHYSICS, MULTIDISCIPLINARY | QUANTUM | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Intervals | Time dependence | Detectors | Decay | Black holes (astronomy) | Constants | Polynomials | Quantum gravity

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 05/2015, Volume 32, Issue 9, pp. 1 - 30

We consider the quantized free massive Dirac field on oriented and globally hyperbolic ultrastatic slab spacetimes with compact spatial section and demonstrate...

Quantized Dirac field | Quantum field theory in curved spacetime | Hadamard states | MICROLOCAL SPECTRUM CONDITION | TIMES | PHYSICS, MULTIDISCIPLINARY | SPINOR STRUCTURE | quantum field theory in curved spacetime | quantized Dirac field | GENERAL RELATIVITY | PASSIVITY | THEOREMS | ASTRONOMY & ASTROPHYSICS | CURVED SPACETIME | QUANTUM-FIELDS | STATIONARY | PHYSICS, PARTICLES & FIELDS | Projectors | Construction | Wicks | Fluctuation | Scalars | Polynomials | Quantum gravity | Invariants

Quantized Dirac field | Quantum field theory in curved spacetime | Hadamard states | MICROLOCAL SPECTRUM CONDITION | TIMES | PHYSICS, MULTIDISCIPLINARY | SPINOR STRUCTURE | quantum field theory in curved spacetime | quantized Dirac field | GENERAL RELATIVITY | PASSIVITY | THEOREMS | ASTRONOMY & ASTROPHYSICS | CURVED SPACETIME | QUANTUM-FIELDS | STATIONARY | PHYSICS, PARTICLES & FIELDS | Projectors | Construction | Wicks | Fluctuation | Scalars | Polynomials | Quantum gravity | Invariants

Journal Article

General Relativity and Gravitation, ISSN 0001-7701, 10/2018, Volume 50, Issue 10, pp. 1 - 24

Hawking’s singularity theorem concerns matter obeying the strong energy condition (SEC), which means that all observers experience a nonnegative effective...

Classical fields | Energy conditions | Theoretical, Mathematical and Computational Physics | Quantum Physics | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Singularity theorems | Physics | Astronomy, Astrophysics and Cosmology | INEQUALITIES | NULL ENERGY CONDITION | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | SPACETIME | MANIFOLDS | SCALAR FIELD | QUANTUM INTEREST | PHYSICS, PARTICLES & FIELDS

Classical fields | Energy conditions | Theoretical, Mathematical and Computational Physics | Quantum Physics | Differential Geometry | Classical and Quantum Gravitation, Relativity Theory | Singularity theorems | Physics | Astronomy, Astrophysics and Cosmology | INEQUALITIES | NULL ENERGY CONDITION | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | SPACETIME | MANIFOLDS | SCALAR FIELD | QUANTUM INTEREST | PHYSICS, PARTICLES & FIELDS

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 10/2012, Volume 29, Issue 20, pp. 205017 - 20

Afshordi, Aslanbeigi and Sorkin have recently proposed a construction of a distinguished 'S-J state' for scalar field theory in (bounded regions of) general...

BACKGROUNDS | ENERGY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | TIME ORDERED PRODUCTS | STATIONARY | PHYSICS, PARTICLES & FIELDS | Construction | Equivalence | Scalars | Field theory | Representations | Proposals | Quantum gravity | Curved

BACKGROUNDS | ENERGY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | TIME ORDERED PRODUCTS | STATIONARY | PHYSICS, PARTICLES & FIELDS | Construction | Equivalence | Scalars | Field theory | Representations | Proposals | Quantum gravity | Curved

Journal Article

Reviews in Mathematical Physics, ISSN 0129-055X, 03/2013, Volume 25, Issue 2, p. 1330003

Linearized Einstein gravity (with possibly non-zero cosmological constant) is quantized in the framework of algebraic quantum field theory by analogy with...

quantum field theory | local covariance | Linearized gravity | PERTURBATIONS | SYMMETRIES | GENERAL-RELATIVITY | EINSTEIN EQUATIONS | TIMES | SPIN | STABILITY | QUANTUM-FIELD THEORY | PHYSICS, MATHEMATICAL | ROBERTSON-WALKER UNIVERSES | DYNAMICAL LOCALITY

quantum field theory | local covariance | Linearized gravity | PERTURBATIONS | SYMMETRIES | GENERAL-RELATIVITY | EINSTEIN EQUATIONS | TIMES | SPIN | STABILITY | QUANTUM-FIELD THEORY | PHYSICS, MATHEMATICAL | ROBERTSON-WALKER UNIVERSES | DYNAMICAL LOCALITY

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2013, Volume 88, Issue 2

A quantum energy inequality is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density, the...

DENSITY | DIRAC FIELDS | GRAVITATIONAL COLLAPSE | COSMOLOGY | FIELD-THEORIES | SINGULARITIES | THEOREM | FLAT SPACETIME | ASTRONOMY & ASTROPHYSICS | PROOF | CONJECTURE | PHYSICS, PARTICLES & FIELDS

DENSITY | DIRAC FIELDS | GRAVITATIONAL COLLAPSE | COSMOLOGY | FIELD-THEORIES | SINGULARITIES | THEOREM | FLAT SPACETIME | ASTRONOMY & ASTROPHYSICS | PROOF | CONJECTURE | PHYSICS, PARTICLES & FIELDS

Journal Article

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