scholarly journals Stress-energy tensor correlators of a quantum field in EuclideanRNandAdSNspaces via the generalized zeta-function method

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
H. T. Cho ◽  
B. L. Hu
Keyword(s):  
Zeta Function ◽  
Function Method ◽  
Energy Tensor ◽  
Quantum Field ◽  
Stress Energy Tensor ◽  
Stress Energy ◽  
Generalized Zeta Function

scholarly journals THE EXTENDED ALGEBRA OF OBSERVABLES FOR DIRAC FIELDS AND THE TRACE ANOMALY OF THEIR STRESS-ENERGY TENSOR

2009 ◽  
Vol 21 (10) ◽  
pp. 1241-1312 ◽  
Author(s):  
CLAUDIO DAPPIAGGI ◽  
THOMAS-PAUL HACK ◽  
NICOLA PINAMONTI
Keyword(s):  
Back Reaction ◽  
Energy Tensor ◽  
Quantum Field ◽  
Stress Energy Tensor ◽  
Covariant Quantum ◽  
Algebra Of Observables ◽  
Spinor Fields ◽  
Trace Anomaly ◽  
Stress Energy ◽  
Dirac Spinors

We discuss from scratch the classical structure of Dirac spinors on an arbitrary globally hyperbolic, Lorentzian spacetime, their formulation as a locally covariant quantum field theory, and the associated notion of a Hadamard state. Eventually, we develop the notion of Wick polynomials for spinor fields, and we employ the latter to construct a covariantly conserved stress-energy tensor suited for back-reaction computations. We shall explicitly calculate its trace anomaly in particular.

scholarly journals CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES

2005 ◽  
Vol 17 (03) ◽  
pp. 227-311 ◽  
Author(s):  
STEFAN HOLLANDS ◽  
ROBERT M. WALD
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Leibniz Rule ◽  
Energy Tensor ◽  
Quantum Field ◽  
Stress Energy Tensor ◽  
Field Algebra ◽  
Perturbative Solution ◽  
Stress Energy ◽  
Curved Spacetimes

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 quantum scalar field in curved spacetime. These conditions arise from a simple "Principle of Perturbative Agreement": for interaction Lagrangians L1 that are such that the interacting field theory can be constructed exactly — as occurs when L1 is a "pure divergence" or when L1 is at most quadratic in the field and contains no more than two derivatives — then time-ordered products must be defined so that the perturbative solution for interacting fields obtained from the Bogoliubov formula agrees with the exact solution. The conditions derived from this principle include a version of the Leibniz rule (or "action Ward identity") and a condition on time-ordered products that contain a factor of the free field φ or the free stress-energy tensor Tab. The main results of our paper are (1) a proof that in spacetime dimensions greater than 2, our new conditions can be consistently imposed in addition to our previously considered conditions and (2) a proof that, if they are imposed, then for any polynomial interaction Lagrangian L1 (with no restriction on the number of derivatives appearing in L1), the stress-energy tensor Θab of the interacting theory will be conserved. Our work thereby establishes (in the context of perturbation theory) the conservation of stress-energy for an arbitrary interacting scalar field in curved spacetimes of dimension greater than 2. Our approach requires us to view time-ordered products as maps taking classical field expressions into the quantum field algebra rather than as maps taking Wick polynomials of the quantum field into the quantum field algebra.

Thermodynamics and the quantum stress-energy and spin tensor

2014 ◽  
Vol 11 (02) ◽  
pp. 1450020 ◽  
Author(s):  
Francesco Becattini ◽  
Leonardo Tinti
Keyword(s):  
Angular Momentum ◽  
Total Energy ◽  
Transport Coefficients ◽  
Energy Tensor ◽  
Quantum Field ◽  
Total Entropy ◽  
Spin Tensor ◽  
Stress Energy Tensor ◽  
Stress Energy ◽  
General Relativistic

In this paper, we show that thermodynamics is sensitive to the existence of a fundamental spin tensor. In general, the thermodynamics is not invariant by a change of the stress-energy tensor of a fundamental quantum field with a divergence transformation leaving the total energy, momentum and angular momentum unchanged. Among the quantities which are changed by such a transformation, there are densities at equilibrium with rotation and nonequilibrium ones like transport coefficients and total entropy. Therefore, at least in principle, it could be possible to probe the existence of a spin tensor, with major consequences for general relativistic theories, with a thermodynamics experiment.

scholarly journals STRESS-ENERGY TENSOR AND ULTRAVIOLET BEHAVIOR IN MASSIVE INTEGRABLE QUANTUM FIELD THEORIES

1994 ◽  
Vol 09 (19) ◽  
pp. 3307-3337 ◽  
Author(s):  
G. MUSSARDO ◽  
P. SIMONETTI
Keyword(s):  
Form Factors ◽  
Field Theories ◽  
Particle State ◽  
Energy Tensor ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Stress Energy Tensor ◽  
Integrable Quantum ◽  
Stress Energy ◽  
Distance Behavior

The short distance behavior of massive integrable quantum field theories is analyzed in terms of the form factor approach. We show that the on-shell dynamics is compatible with different definitions of the stress-energy tensor Tµν(x) of the theory. In terms of form factors, this is equivalent to having a possible nonzero matrix element F1 of the trace of Tµν on a one-particle state. Each choice of F1 induces a different scaling behavior of the massive theory in the ultraviolet limit.

scholarly journals Stress-energy tensor correlators from the world-sheet

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hanno Bertle ◽  
Andrea Dei ◽  
Matthias R. Gaberdiel
Keyword(s):  
Vertex Operator ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
World Sheet ◽  
Stress Energy ◽  
The World

Abstract The large N limit of symmetric orbifold theories was recently argued to have an AdS/CFT dual world-sheet description in terms of an sl(2, ℝ) WZW model. In previous work the world-sheet state corresponding to the symmetric orbifold stress-energy tensor was identified. We calculate certain 2- and 3-point functions of the corresponding vertex operator on the world-sheet, and demonstrate that these amplitudes reproduce exactly what one expects from the dual symmetric orbifold perspective.

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