scholarly journals Massive scalar field theory in the presence of moving mirrors

2018 ◽  
Vol 33 (21) ◽  
pp. 1850126 ◽  
Author(s):  
L. Astrakhantsev ◽  
O. Diatlyk
Keyword(s):  
Canonical Form ◽  
Constant Velocity ◽  
Field Operator ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Expectation Value ◽  
Commutation Relations ◽  
Conjugate Momentum ◽  
Stress Energy ◽  
Massive Fields

We study the 2D massive fields in the presence of moving mirrors. We do that for standing mirror and mirror moving with constant velocity. We calculate the modes and commutation relations of the field operator with the corresponding conjugate momentum in each case. We find that in case of the ideal mirror, which reflects modes with all momenta equally well, the commutation relations do not have their canonical form. However, in the case of nonideal mirror, which is transparent for the modes with high enough momenta, the commutation relations of the field operator and its conjugate momentum have their canonical form. Then, we calculate the free Hamiltonian and the expectation value of the stress-energy tensor in all the listed situations. In the presence of moving mirrors the diagonal form in terms of the creation and annihilation operators has the operator that performs translations along the mirror’s worldline rather than the one which does translations along the time-line. For the massive fields in the presence of a mirror moving with constant velocity the expectation value of the stress-energy tensor has a nondiagonal contribution which decays with the distance from the mirror.

scholarly journals Stress-energy tensor of the quantized massive fields in Friedman-Robertson-Walker spacetimes

2013 ◽  
Vol 88 (10) ◽  
Author(s):  
Jerzy Matyjasek ◽  
Paweł Sadurski
Keyword(s):  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Stress Energy ◽  
Massive Fields

scholarly journals Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential

2015 ◽  
Vol 30 (35) ◽  
pp. 1550213 ◽  
Author(s):  
Davide Fermi ◽  
Livio Pizzocchero
Keyword(s):  
Scalar Field ◽  
General Framework ◽  
Casimir Effect ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Harmonic Potential ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Expectation Value ◽  
Stress Energy

Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we renormalize the vacuum expectation value of the stress-energy tensor (and of the total energy) for a scalar field in presence of an external harmonic potential.

Fermion fields in accelerated states

1978 ◽  
Vol 362 (1709) ◽  
pp. 251-262 ◽  
Keyword(s):  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Black Body ◽  
Black Body Radiation ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Expectation Value ◽  
Fermion Fields ◽  
Massless Spin ◽  
Stress Energy

The massless spin-½ and spin-3/2 fields are quantized in the ‘Rindler wedge.’ The vacuum expectation value of the stress-energy tensor is calculated for the spin-½ field and is found to correspond to the absence from the vacuum of black body radiation. Though thermal, the spectrum of the stress tensor has a non-Planckian form.

scholarly journals Stress-energy tensor of quantized massive fields in static wormhole spacetimes

2017 ◽  
Vol 96 (10) ◽  
Author(s):  
Ewa Kocuper ◽  
Jerzy Matyjasek ◽  
Kasia Zwierzchowska
Keyword(s):  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Stress Energy ◽  
Massive Fields

NON-PERTURBATIVE VACUUM WAVE-FUNCTIONAL AND CLOSED STRING EQUATIONS OF MOTION

1989 ◽  
Vol 04 (10) ◽  
pp. 961-970
Author(s):  
J. GONZÁLEZ
Keyword(s):  
Equations Of Motion ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Closed String ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Expectation Value ◽  
Stress Energy ◽  
Perturbative Regime ◽  
Variational Condition

The anomalous conformal dependence of the vacuum wave-functional is studied in the non-perturbative regime of the closed bosonic string theory. It is shown that the vanishing of the vacuum expectation value of the stress-energy tensor trace leads to the implementation of a suitable variational condition on the wave-functional, provided that the dilaton condensate be taken as a conformal compensator for the graviton condensate of the embedding space.

scholarly journals SEMICLASSICAL GRAVITATIONAL EFFECTS AROUND GLOBAL MONOPOLE IN BRANS–DICKE THEORY

2008 ◽  
Vol 23 (32) ◽  
pp. 2763-2770 ◽  
Author(s):  
F. RAHAMAN ◽  
P. GHOSH
Keyword(s):  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Energy Tensor ◽  
Quantum Fields ◽  
Global Monopole ◽  
Stress Energy Tensor ◽  
Gravitational Effects ◽  
Expectation Value ◽  
Stress Energy ◽  
Theory Of Gravity

Recently, W. A. Hiscock4studied the semi classical gravitational effects around global monopole. He obtained the vacuum expectation value of the stress–energy tensor of an arbitrary collection of conformal mass less free quantum fields (scalar, spinor and vectors) in the spacetime of a global monopole. With this stress–energy tensor, we study the semiclassical gravitational effects of a global monopole in the context of Brans–Dicke theory of gravity.

scholarly journals Local zeta regularization and the scalar Casimir effect IV: The case of a rectangular box

2016 ◽  
Vol 31 (04n05) ◽  
pp. 1650003 ◽  
Author(s):  
Davide Fermi ◽  
Livio Pizzocchero
Keyword(s):  
Casimir Effect ◽  
Arbitrary Dimension ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Massless Scalar ◽  
Energy Tensor ◽  
Massless Scalar Field ◽  
Stress Energy Tensor ◽  
Expectation Value ◽  
Stress Energy

Applying the general framework for local zeta regularization proposed in Part I of this series of papers, we compute the renormalized vacuum expectation value of several observables (in particular, of the stress–energy tensor) for a massless scalar field confined within a rectangular box of arbitrary dimension.

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