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.

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.

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

scholarly journals The solar-interior equation of state with the path-integral formalism

2009 ◽  
Vol 505 (2) ◽  
pp. 735-742 ◽  
Author(s):  
A. Perez ◽  
K. Mussack ◽  
W. Däppen ◽  
D. Mao
Keyword(s):  
Equation Of State ◽  
Path Integral ◽  
Solar Interior ◽  
Integral Formalism ◽  
Path Integral Formalism

Effects of barrier penetration on energy spectrum and wave functions in the path integral formalism

1978 ◽  
Vol 136 (2) ◽  
pp. 259-276 ◽  
Author(s):  
Iring Bender ◽  
Dieter Gromes ◽  
Heinz J. Rothe ◽  
Klaus D. Rothe
Keyword(s):  
Energy Spectrum ◽  
Path Integral ◽  
Wave Functions ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Barrier Penetration

COVARIANT VS. UNITARY QUANTIZATION: SUPERSYMMETRIC RECONCILIATION

1993 ◽  
Vol 08 (10) ◽  
pp. 1773-1785
Author(s):  
L. ROZANSKY
Keyword(s):  
Path Integral ◽  
Integral Formalism ◽  
Quantization Procedure ◽  
One Dimensional ◽  
Path Integral Formalism ◽  
Unitary Gauge ◽  
Gravitational Theories ◽  
Dirac Spin

A quantization of one-dimensional supergravity, which leads to a Dirac spin 1/2 particle, is considered. A propagator of this particle is calculated in the path integral formalism. A covariant procedure (which involves ghosts) is applied in the unitary gauge. We show that supersymmetry can remove the discrepancy between the covariant and unitary quantization procedure, which was discovered in Ref. 4 for the case of nonsupersymmetric gravitational theories.

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