scholarly journals Anomaly-Induced Transport Phenomena from Imaginary-Time Formalism

Particles ◽  
2019 ◽  
Vol 2 (2) ◽  
pp. 261-280 ◽  
Author(s):  
Masaru Hongo ◽  
Yoshimasa Hidaka
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Transport Coefficient ◽  
Transport Phenomena ◽  
Anomalous Transport ◽  
Quantum Field ◽  
Imaginary Time ◽  
Time Formalism ◽  
Weyl Fermion

A derivation of anomaly-induced transport phenomena—the chiral magnetic/vortical effect—is revisited based on the imaginary-time formalism of quantum field theory. Considering the simplest anomalous system composed of a single Weyl fermion, we provide two derivations: perturbative (one-loop) evaluation of the anomalous transport coefficient, and the anomaly matching for the local thermodynamic functional.

THERMOFIELD DYNAMICS AND e+e- REACTIONS

2011 ◽  
Vol 26 (17) ◽  
pp. 2881-2897 ◽  
Author(s):  
M. CHEKERKER ◽  
M. LADREM ◽  
F. C. KHANNA ◽  
A. E. SANTANA
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Real Time ◽  
Finite Temperature ◽  
Quantum Field ◽  
Time Formalism ◽  
Hadronic State ◽  
Real Time Formalism

The thermofield dynamics, a real-time formalism for finite temperature quantum field theory, is used to calculate the rates for e+e- reactions at finite temperature. The results show the role of temperature in defining a hadronic state after the plasma has been cooled down.

REAL-TIME FORMALISM OF THERMOFIELD DYNAMICS AND MATSUBARA APPROACH IN QUANTUM STATISTICAL PHYSICS

1990 ◽  
Vol 05 (26) ◽  
pp. 2183-2188
Author(s):  
A. A. ABRIKOSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Real Time ◽  
Statistical Physics ◽  
Integration Contour ◽  
Quantum Field ◽  
True Vacuum ◽  
Time Formalism ◽  
Quantum Statistical ◽  
Real Time Formalism

When studying thermodynamic properties by means of quantum field theory methods one can deform the Matsubara integration contour in the complex time plane. The deformations are restricted by Hamiltonian singularities which are due to turning on an interaction. One should construct the real-time technique in the true vacuum taking the interaction into account.

QUANTUM FIELD THEORY AND THE ANTIPODAL IDENTIFICATION OF SPACE TIME

1988 ◽  
Vol 03 (11) ◽  
pp. 2567-2588 ◽  
Author(s):  
G. DOMENECH ◽  
M.L. LEVINAS ◽  
N. SÁNCHEZ
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Stress Tensor ◽  
Space Time ◽  
Field Theories ◽  
Green Functions ◽  
Quantum Field ◽  
Imaginary Time ◽  
Event Horizons ◽  
Antipodal Identification

We investigate the “elliptic interpretation” of space-time (identification of antipodal points or events) in anti-deSitter and in Rindler manifolds and its consequences for QFT. We compare and give a complete description of antipodal identification in space-times with and without event horizons. Antipodal identification relates the field theories on deSitter and on anti-deSitter spaces. In the “elliptic” Rindler manifold, imaginary time is periodic with period β/2 but the Green functions (for both identifications with and without “Conical singularity”) have period β. (Here β=2π/α, α is the acceleration.) Additional new properties for the Green functions are obtained and the new terms added to the stress tensor computed.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

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