scholarly journals A quantum field-theoretical perspective on scale anomalies in 1D systems with three-body interactions

2019 ◽  
Vol 34 (35) ◽  
pp. 1950291 ◽  
Author(s):  
W. S. Daza ◽  
J. E. Drut ◽  
C. L. Lin ◽  
C. R. Ordóñez
Keyword(s):  
Energy Momentum Tensor ◽  
Scattering Amplitude ◽  
Theoretical Perspective ◽  
Dimensional Regularization ◽  
Momentum Tensor ◽  
Quantum Field ◽  
One Dimensional ◽  
Scattering States ◽  
Three Body ◽  
Canonical Quantum

We analyze, from a canonical quantum field theory (QFT) perspective, the problem of one-dimensional particles with three-body attractive interactions, which was recently shown to exhibit a scale anomaly identical to that observed in two-dimensional (2D) systems with two-body interactions. We study in detail the properties of the scattering amplitude including both bound and scattering states, using cutoff and dimensional regularization, and clarify the connection between the scale anomaly derived from thermodynamics to the nonvanishing non-relativistic trace of the energy–momentum tensor.

scholarly journals THE LOCALLY COVARIANT DIRAC FIELD

2010 ◽  
Vol 22 (04) ◽  
pp. 381-430 ◽  
Author(s):  
KO SANDERS
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Dirac Field ◽  
Quantum Field ◽  
Geometric Constructions ◽  
Covariant Quantum ◽  
Dimensional Spacetime ◽  
Stress Energy ◽  
Hadamard States ◽  
Stress Energy Momentum Tensor

We describe the free Dirac field in a four-dimensional spacetime as a locally covariant quantum field theory in the sense of Brunetti, Fredenhagen and Verch, using a representation independent construction. The freedom in the geometric constructions involved can be encoded in terms of the cohomology of the category of spin spacetimes. If we restrict ourselves to the observable algebra, the cohomological obstructions vanish and the theory is unique. We establish some basic properties of the theory and discuss the class of Hadamard states, filling some technical gaps in the literature. Finally, we show that the relative Cauchy evolution yields commutators with the stress-energy-momentum tensor, as in the scalar field case.

scholarly journals A NEAR HORIZON CFT DUAL FOR KERR–NEWMAN AdS

2011 ◽  
Vol 26 (18) ◽  
pp. 3077-3090 ◽  
Author(s):  
BRADLY K. BUTTON ◽  
LEO RODRIGUEZ ◽  
CATHERINE A. WHITING ◽  
TUNA YILDIRIM
Keyword(s):  
Black Hole ◽  
Energy Momentum Tensor ◽  
Central Charge ◽  
Virasoro Algebra ◽  
Momentum Tensor ◽  
Two Dimensional ◽  
S Wave ◽  
One Dimensional ◽  
Conformal Field ◽  
Asymptotic Symmetries

We show that the near horizon regime of a Kerr–Newman AdS (KNAdS) black hole, given by its two-dimensional analogue a là Robinson and Wilczek (Phys. Rev. Lett.95, 011303 (2005)), is asymptotically AdS2 and dual to a one-dimensional quantum conformal field theory (CFT). The s-wave contribution of the resulting CFT's energy–momentum tensor together with the asymptotic symmetries, generate a centrally extended Virasoro algebra, whose central charge reproduces the Bekenstein–Hawking entropy via Cardy's formula. Our derived central charge also agrees with the near extremal Kerr/CFT correspondence (Phys. Rev. D80, 124008 (2009)) in the appropriate limits. We also compute the Hawking temperature of the KNAdS black hole by coupling its Robinson and Wilczek two-dimensional analogue (RW2DA) to conformal matter.

scholarly journals Energy - Momentum Tensors for Dispersive Electromagnetic Waves

1977 ◽  
Vol 30 (6) ◽  
pp. 533 ◽  
Author(s):  
RL Dewar
Keyword(s):  
Total Energy ◽  
Electromagnetic Waves ◽  
Energy Momentum Tensor ◽  
Dispersive Medium ◽  
Ponderomotive Force ◽  
Three Dimensional ◽  
Momentum Tensor ◽  
Dielectric Fluid ◽  
One Dimensional ◽  
Cold Plasmas

Classical relativistic field theory is used as a basis for a general discussion of the problem of splitting up the total energy–momentum tensor of a system into contributions from its component subsystems. Both the Minkowski and Abraham forms (including electrostriction) arise naturally in alternative split-up procedures applied to a non dispersive dielectric fluid. The case of an electromagnetic wave in a (spatially and temporally) dispersive medium in arbitrary but slowly varying motion is then treated. In the dispersive case the results cannot be found by replacing the dielectric constant ε with ε(κ, ω) but include derivatives with respect to the wave vector κ and the frequency ω. Ponderomotive force expressions are obtained and the perturbation in the total energy–momentum tensor due to a one-dimensional wavepacket is found. A nonlinear Schrödinger equation is obtained for the evolution of a three-dimensional wavepacket. Both hot and cold plasmas are treated.

Energy-momentum tensor in quantum field theory

1981 ◽  
Vol 23 (10) ◽  
pp. 2262-2275 ◽  
Author(s):  
Kazuo Fujikawa
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Quantum Field

Energy-momentum tensor of a massless scalar quantum field in a Robertson-Walker universe

1977 ◽  
Vol 109 (1) ◽  
pp. 108-142 ◽  
Author(s):  
P.C.W. Davies ◽  
S.A. Fulling ◽  
S.M. Christensen ◽  
T.S. Bunch
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Massless Scalar ◽  
Quantum Field ◽  
Scalar Quantum

THE GAUSSIAN APPROXIMATION FOR THE λφ4THEORY AT FINITE TEMPERATURE REVISITED

1991 ◽  
Vol 06 (26) ◽  
pp. 4579-4638 ◽  
Author(s):  
FRÉDÉRIQUE GRASSI ◽  
RÉMI HAKIM ◽  
HORACIO D. SIVAK
Keyword(s):  
Free Energy ◽  
Effective Mass ◽  
Effective Potential ◽  
Finite Temperature ◽  
Energy Momentum Tensor ◽  
Gaussian Approximation ◽  
Dimensional Regularization ◽  
Momentum Tensor ◽  
Effects Of Temperature ◽  
Physical Quantities

This paper is devoted to a systematic study of the λφ4 theory in the Gaussian approximation and at finite temperature. Although our results can be extended in a straightforward manner to other dimensions, only the case of four (1+3) dimensions is dealt with here. The Gaussian approximation is implemented via the moments of the field φ, a method somewhat simpler than the Gaussian functional approach. Furthermore, the effective potential (equivalently, the free energy) is calculated through the evaluation of the energy-momentum tensor of quasiparticles endowed with an effective mass. This effective mass generally obeys a gap equation, which is analyzed and solved. Besides the “precarious” solution of Stevenson or the “autonomous” one of Stevenson and Tarrach, which are recovered and rediscussed, several nonperturbative solutions, either exhibiting “spontaneous symmetry breaking” or not, are obtained with the help of systematic expansions of various physical quantities in powers of ε, the parameter occurring in the dimensional regularization scheme used throughout this paper. The effects of temperature are discussed in detail: phase transitions in the precarious or autonomous solutions occur. Other simple Gaussian (but not minimal) solutions for the effective potential (free energy) are also obtained.

scholarly journals Examining a covariant and renormalizable quantum field theory in de Sitter space by studying “black hole radiation”

2016 ◽  
Vol 31 (11) ◽  
pp. 1650052 ◽  
Author(s):  
Hamed Pejhan ◽  
Surena Rahbardehghan
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Black Hole ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Quantum Field ◽  
De Sitter ◽  
Black Hole Radiation

Respecting that any consistent quantum field theory in curved space–time must include black hole radiation, in this paper, we examine the Krein–Gupta–Bleuler (KGB) formalism as an inevitable quantization scheme in order to follow the guideline of the covariance of minimally coupled massless scalar field and linear gravity on de Sitter (dS) background in the sense of Wightman–Gärding approach, by investigating thermodynamical aspects of black holes. The formalism is interestingly free of pathological large distance behavior. In this construction, also, no infinite term appears in the calculation of expectation values of the energy–momentum tensor (we have an automatic and covariant renormalization) which results in the vacuum energy of the free field to vanish. However, the existence of an effective potential barrier, intrinsically created by black holes gravitational field, gives a Casimir-type contribution to the vacuum expectation value of the energy–momentum tensor. On this basis, by evaluating the Casimir energy–momentum tensor for a conformally coupled massless scalar field in the vicinity of a nonrotating black hole event horizon through the KGB quantization, in this work, we explicitly prove that the hole produces black-body radiation which its temperature exactly coincides with the result obtained by Hawking for black hole radiation.

scholarly journals Energy-momentum tensor in QCD: nucleon mass decomposition and mechanical equilibrium

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Cédric Lorcé ◽  
Andreas Metz ◽  
Barbara Pasquini ◽  
Simone Rodini
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Nucleon Mass ◽  
Quantum Field ◽  
Mechanical Equilibrium ◽  
Minimal Subtraction ◽  
Sum Rule ◽  
Trace Anomaly ◽  
Recent Developments ◽  
Translation Symmetry

Abstract We review and examine in detail recent developments regarding the question of the nucleon mass decomposition. We discuss in particular the virial theorem in quantum field theory and its implications for the nucleon mass decomposition and mechanical equilibrium. We reconsider the renormalization of the QCD energy-momentum tensor in minimal-subtraction-type schemes and the physical interpretation of its components, as well as the role played by the trace anomaly and Poincaré symmetry. We also study the concept of “quantum anomalous energy” proposed in some works as a new contribution to the nucleon mass. Examining the various arguments, we conclude that the quantum anomalous energy is not a genuine contribution to the mass sum rule, as a consequence of translation symmetry.

The effect of backreaction on inflationary Starobinsky cosmology

2017 ◽  
Vol 14 (10) ◽  
pp. 1750134 ◽  
Author(s):  
Mohammad Reza Setare ◽  
Mitra Sahraee
Keyword(s):  
Energy Momentum Tensor ◽  
Dimensional Regularization ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Momentum Tensor ◽  
Scale Factor ◽  
Quantum Energy ◽  
Expectation Value ◽  
Trace Anomaly ◽  
Friedmann Robertson Walker

In this paper, we would like to obtain the effect of the quantum backreaction on inflationary Starobinsky cosmology in spatially flat [Formula: see text]-dimensional Friedmann–Robertson–Walker universe. For this purpose, first, we obtain the vacuum expectation value of energy–momentum tensor, which is separated into two parts, UV and IR. To calculate the UV contribution, we use the WKB approximation of the mode function of the equation of motion. Since the obtained value of this contribution of the vacuum expectation value of energy–momentum tensor is divergent, we should renormalize it. Therefore, by using the dimensional regularization and introducing a counterterm action, we eliminate divergences. After that, we calculate the contributions of IR part and trace anomaly. Thus, we obtain the quantum energy density and pressure during inflation era in this model. Finally, we can find the effect of backreaction on scale factor in inflation era, which leads to the new scale factor.

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