scholarly journals Stress tensor from the trace anomaly in Reissner-Nordström spacetimes

2007 ◽  
Vol 76 (12) ◽  
Author(s):  
Paul R. Anderson ◽  
Emil Mottola ◽  
Ruslan Vaulin
Keyword(s):  
Stress Tensor ◽  
Trace Anomaly

scholarly journals TRACE ANOMALY AND CASIMIR EFFECT

2000 ◽  
Vol 15 (35) ◽  
pp. 2159-2164 ◽  
Author(s):  
M. R. SETARE ◽  
A. H. REZAEIAN
Keyword(s):  
Boundary Conditions ◽  
Stress Tensor ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Casimir Energy ◽  
Two Dimensions ◽  
Dirichlet Boundary Conditions ◽  
Curved Space ◽  
Trace Anomaly ◽  
Dimensional Domain

The Casimir energy for scalar field of two parallel conductors in two-dimensional domain wall background, with Dirichlet boundary conditions, is calculated by making use of general properties of renormalized stress–tensor. We show that vacuum expectation values of stress–tensor contain two terms which come from the boundary conditions and the gravitational background. In two dimensions the minimal coupling reduces to the conformal coupling and stress–tensor can be obtained by the local and nonlocal contributions of the anomalous trace. This work shows that there exists a subtle and deep connection between Casimir effect and trace anomaly in curved space–time.

Stress-tensor trace anomaly in a gravitational metric: General theory, Maxwell field

1977 ◽  
Vol 15 (10) ◽  
pp. 2810-2829 ◽  
Author(s):  
Lowell S. Brown ◽  
James P. Cassidy
Keyword(s):  
General Theory ◽  
Stress Tensor ◽  
Maxwell Field ◽  
Trace Anomaly

scholarly journals A note on quantum fields in conformally flat spacetimes

2019 ◽  
Vol 35 (02) ◽  
pp. 1950348
Author(s):  
Swayamsidha Mishra ◽  
Sudipta Mukherji ◽  
Yogesh K. Srivastava
Keyword(s):  
Stress Tensor ◽  
Scalar Fields ◽  
Energy Conditions ◽  
Conformally Flat ◽  
Quantum Fields ◽  
Trace Anomaly ◽  
Flat Spacetimes ◽  
Conformally Flat Spacetimes ◽  
The One ◽  
Spatial Section

We develop a technique relating scalar fields with different masses in different conformally flat spacetimes. We apply this technique to the case of FRW spacetimes, with [Formula: see text], and discuss several examples. We also study various energy conditions and discuss how they constrain the spacetimes related by this technique. We calculate the two-point scalar correlator in the radiation-dominated universe with a hyperbolic spatial section from the one in the Milne universe using the above mapping. Finally, we consider trace anomaly and renormalized stress tensor for conformally flat spacetimes, especially Milne and radiation-dominated universe (with [Formula: see text]) using the transformation.

scholarly journals GAUGE FIELD IMPROVEMENT, FORM-SCALAR DUALITY, CONFORMAL INVARIANCE AND QUASI-LOCALITY

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3741-3748 ◽  
Author(s):  
S. DESER ◽  
A. SCHWIMMER
Keyword(s):  
Gauge Field ◽  
Stress Tensor ◽  
Conformal Invariance ◽  
Gauge Theories ◽  
Critical Dimension ◽  
Scalar Theory ◽  
Gauge Invariant ◽  
Trace Anomaly ◽  
Stress Tensors ◽  
N Form

The problem of maintaining scale and conformal invariance in Maxwell and general N form gauge theories away from their critical dimension dc=2(N+1) is analyzed. We first exhibit the underlying group-theoretical clash between locality, gauge, Lorentz and conformal invariance requirements. “Improved"-traceless-stress tensors are then constructed; each violates one of the above criteria. However, when d=N+2, there is a duality equivalence between N-form models and massless scalars in d=N+2. Here we show that N-form conformal invariance is not lost, by constructing a quasilocal gauge invariant improved stress tensor. The correlators of the scalar theory are then reproduced, including the latter’s trace anomaly. This resolves the old conformal invariance “paradox” between the dual partners.

scholarly journals Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ*

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
S. Abdallah ◽  
S. A. Franchino-Viñas ◽  
M. B. Fröb
Keyword(s):  
Stress Tensor ◽  
Dimensional Regularization ◽  
Minkowski Spacetime ◽  
Second Order ◽  
Dirac Fermion ◽  
Expectation Value ◽  
Trace Anomaly ◽  
The One ◽  
Consistent Treatment ◽  
Weyl Fermions

Abstract We revisit the computation of the trace anomaly for Weyl fermions using dimensional regularization. For a consistent treatment of the chiral gamma matrix γ* in dimensional regularization, we work in n dimensions from the very beginning and use the Breitenlohner-Maison scheme to define γ*. We show that the parity-odd contribution to the trace anomaly vanishes (for which the use of dimension-dependent identities is crucial), and that the parity-even contribution is half the one of a Dirac fermion. To arrive at this result, we compute the full renormalized expectation value of the fermion stress tensor to second order in perturbations around Minkowski spacetime, and also show that it is conserved.

Gluing Solutions

2017 ◽  
Author(s):  
Philip Isett
Keyword(s):  
Stress Tensor ◽  
Compact Support ◽  
Smooth Solution ◽  
Continuous Solution ◽  
Total Momentum ◽  
Frame Of Reference ◽  
Galilean Transformation ◽  
Hölder Continuous ◽  
Pressure Form ◽  
Original Frame

This chapter deals with the gluing of solutions and the relevant theorem (Theorem 12.1), which states the condition for a Hölder continuous solution to exist. By taking a Galilean transformation if necessary, the solution can be assumed to have zero total momentum. The cut off velocity and pressure form a smooth solution to the Euler-Reynolds equations with compact support when coupled to a smooth stress tensor. The proof of Theorem (12.1) proceeds by iterating Lemma (10.1) just as in the proof of Theorem (10.1). Applying another Galilean transformation to return to the original frame of reference, the theorem is obtained.

An Extension of Burzyński Hypothesis of Material Effort Accounting for the Third Invariant of Stress Tensor

2011 ◽  
Vol 56 (2) ◽  
pp. 503-508 ◽  
Author(s):  
R. Pęcherski ◽  
P. Szeptyński ◽  
M. Nowak
Keyword(s):  
Stress Tensor ◽  
Elastic Energy ◽  
Yield Condition ◽  
The Third ◽  
Third Invariant ◽  
Lode Angle

An Extension of Burzyński Hypothesis of Material Effort Accounting for the Third Invariant of Stress Tensor The aim of the paper is to propose an extension of the Burzyński hypothesis of material effort to account for the influence of the third invariant of stress tensor deviator. In the proposed formulation the contribution of the density of elastic energy of distortion in material effort is controlled by Lode angle. The resulted yield condition is analyzed and possible applications and comparison with the results known in the literature are discussed.

Sign in / Sign up

Export Citation Format

Share Document