Sparse representations and compressive sampling for enhancing the computational efficiency of the Wiener path integral technique

2018 ◽  
Vol 111 ◽  
pp. 87-101 ◽  
Author(s):  
Apostolos F. Psaros ◽  
Ioannis A. Kougioumtzoglou ◽  
Ioannis Petromichelakis
Keyword(s):  
Path Integral ◽  
Computational Efficiency ◽  
Sparse Representations ◽  
Compressive Sampling ◽  
Integral Technique

Vacuum polarization in a background magnetic field in (2 + 1)-dimensional QED

1995 ◽  
Vol 73 (7-8) ◽  
pp. 458-462
Author(s):  
D. G. C. McKeon
Keyword(s):  
Magnetic Field ◽  
Path Integral ◽  
Vacuum Polarization ◽  
Quantum Mechanical ◽  
Matrix Elements ◽  
Integral Technique ◽  
Background Magnetic Field ◽  
The One

The one-loop vacuum polarization in the presence of a background magnetic field is computed in (2 + 1)-dimensional electrodynamics in which the spinor mass is parity violating. The quantum-mechanical path-integral technique is used to compute matrix elements arising in the context operator regularization.

AXIAL-SCHWINGER MODEL

1996 ◽  
Vol 11 (16) ◽  
pp. 2931-2939 ◽  
Author(s):  
R. AMORIM ◽  
J. BARCELOS-NETO ◽  
A. DE SOUZA DUTRA
Keyword(s):  
Path Integral ◽  
Effective Interaction ◽  
Axial Current ◽  
Gauge Fields ◽  
Schwinger Model ◽  
Local Gauge ◽  
Gauge Symmetries ◽  
Integral Technique ◽  
Topological Current

We consider an extension of the axial model where local gauge symmetries are taken into account. The result is a mixing of the axial and Schwinger models. The anomaly of the axial current is calculated by means of the Fujikawa path integral technique and the model is also solved. Besides the well-known features of the particular models (axial and Schwinger) an effective interaction of scalar and gauge fields via a topological current is obtained. This term is responsible for the appearance of massive poles in the propagators that are different from those of both models.

Sign in / Sign up

Export Citation Format

Share Document