scholarly journals Axial-anomaly in noncommutative QED and Pauli–Villars regularization

2019 ◽  
Vol 34 (26) ◽  
pp. 1950150
Author(s):  
Mohammad Walid AlMasri
Keyword(s):  
Path Integral ◽  
Regularization Method ◽  
Integral Method ◽  
Integral Formalism ◽  
Ward Identities ◽  
Axial Anomaly ◽  
Four Dimensions ◽  
Path Integral Formalism ◽  
Path Integral Method ◽  
Villars Regularization

We calculate the [Formula: see text](1) axial-anomaly in two and four dimensions using a modified path integral method coupled to a Pauli–Villars regulator field in the noncommutative QED. Pauli–Villars regularization method provides us with unambiguous way to connect the modified path integral formalism with perturbative axial Ward identities at each step of calculations.

scholarly journals Fusion of conformal defects in four dimensions

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Alexander Söderberg
Keyword(s):  
Path Integral ◽  
Effective Action ◽  
Integral Formalism ◽  
Four Dimensions ◽  
Path Integral Formalism ◽  
Free Theory ◽  
Zoom In

Abstract We consider two conformal defects close to each other in a free theory, and study what happens as the distance between them goes to zero. This limit is the same as zooming out, and the two defects have fused to another defect. As we zoom in we find a non-conformal effective action for the fused defect. Among other things this means that we cannot in general decompose the two-point correlator of two defects in terms of other conformal defects. We prove the fusion using the path integral formalism by treating the defects as sources for a scalar in the bulk.

TRACE ANOMALY IN A THEORY WITH BOSONS AND FERMIONS

1990 ◽  
Vol 05 (16) ◽  
pp. 1291-1298 ◽  
Author(s):  
M.S. ALVES ◽  
J. BARCELOS-NETO
Keyword(s):  
Zeta Function ◽  
Path Integral ◽  
Regularization Method ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Trace Anomaly

We study the trace anomaly in a theory involving bosons and fermions which has supersymmetry as a particular case. We use the path integral formalism and the zeta function as the regularization method.

Application of path integral formalism in spectral line broadening: Lyman- in hydrogenic plasma

2005 ◽  
Vol 94 (3-4) ◽  
pp. 335-346 ◽  
Author(s):  
H. Bouguettaia ◽  
Is. Chihi ◽  
K. Chenini ◽  
M.T. Meftah ◽  
F. Khelfaoui ◽  
...  
Keyword(s):  
Spectral Line ◽  
Path Integral ◽  
Line Broadening ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Spectral Line Broadening

Multi-instantons and exact results IV: Path integral formalism

2011 ◽  
Vol 326 (8) ◽  
pp. 2186-2242 ◽  
Author(s):  
Ulrich D. Jentschura ◽  
Jean Zinn-Justin
Keyword(s):  
Path Integral ◽  
Exact Results ◽  
Integral Formalism ◽  
Path Integral Formalism

Theoretical study on second hyperpolarizability of H3+ system by path integral method

1997 ◽  
Vol 85 (1-3) ◽  
pp. 1159-1160 ◽  
Author(s):  
H. Nagao ◽  
M. Nakano ◽  
S. Yamada ◽  
K. Ohta ◽  
K. Yamaguchi
Keyword(s):  
Path Integral ◽  
Integral Method ◽  
Theoretical Study ◽  
Second Hyperpolarizability ◽  
Path Integral Method

An analysis of quantum effects on the thermodynamic properties of cryogenic hydrogen using the path integral method

2014 ◽  
Vol 140 (13) ◽  
pp. 134506 ◽  
Author(s):  
H. Nagashima ◽  
S. Tsuda ◽  
N. Tsuboi ◽  
M. Koshi ◽  
K. A. Hayashi ◽  
...  
Keyword(s):  
Thermodynamic Properties ◽  
Path Integral ◽  
Integral Method ◽  
Quantum Effects ◽  
Path Integral Method
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