Path integral for gauge theories with fermions

1980 ◽  
Vol 21 (10) ◽  
pp. 2848-2858 ◽  
Author(s):  
Kazuo Fujikawa
Keyword(s):  
Path Integral ◽  
Gauge Theories

scholarly journals AN ALGORITHMIC APPROACH TO QUANTUM FIELD THEORY

2006 ◽  
Vol 21 (03) ◽  
pp. 405-447 ◽  
Author(s):  
MASSIMO DI PIERRO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integral ◽  
Gauge Theories ◽  
Quantum Field ◽  
Algorithmic Approach ◽  
Main Emphasis ◽  
Lattice Computation ◽  
Theoretical Foundations ◽  
Minimal Residual

The lattice formulation provides a way to regularize, define and compute the Path Integral in a Quantum Field Theory. In this paper, we review the theoretical foundations and the most basic algorithms required to implement a typical lattice computation, including the Metropolis, the Gibbs sampling, the Minimal Residual, and the Stabilized Biconjugate inverters. The main emphasis is on gauge theories with fermions such as QCD. We also provide examples of typical results from lattice QCD computations for quantities of phenomenological interest.

scholarly journals Towards a nonperturbative path integral in gauge theories

1999 ◽  
Vol 456 (1) ◽  
pp. 38-47 ◽  
Author(s):  
Sergei V Shabanov ◽  
John R Klauder
Keyword(s):  
Path Integral ◽  
Gauge Theories

scholarly journals Path integral loop representation of 2+1 lattice non-Abelian gauge theories

1998 ◽  
Vol 58 (4) ◽  
Author(s):  
J. M. Aroca ◽  
Hugo Fort ◽  
Rodolfo Gambini
Keyword(s):  
Path Integral ◽  
Gauge Theories ◽  
Abelian Gauge

GAUGE-INVARIANT QUANTISATION OF CHIRAL GAUGE THEORIES

1990 ◽  
Vol 05 (03) ◽  
pp. 175-182 ◽  
Author(s):  
T. D. KIEU
Keyword(s):  
Path Integral ◽  
Gauge Theories ◽  
Berry Phase ◽  
Integral Functional ◽  
Gauge Fields ◽  
Quantum Mechanical ◽  
Gauge Invariant ◽  
Normal Ordering ◽  
Schwinger Model ◽  
Holomorphic Representation

The path-integral functional of chiral gauge theories with background gauge potentials are derived in the holomorphic representation. Justification is provided, from first quantum mechanical principles, for the appearance of a functional phase factor of the gauge fields in order to maintain the gauge invariance. This term is shown to originate either from the Berry phase of the first-quantized hamiltonians or from the normal ordering of the second-quantized hamiltonian with respect to the Dirac in-vacuum. The quantization of the chiral Schwinger model is taken as an example.

On the path-integral quantization of anomalous gauge theories

1987 ◽  
Vol 183 (3-4) ◽  
pp. 311-314 ◽  
Author(s):  
Koji Harada ◽  
Izumi Tsutsui
Keyword(s):  
Path Integral ◽  
Gauge Theories ◽  
Path Integral Quantization

GEOMETRIC STRUCTURES IN PHYSICS

2012 ◽  
Vol 09 (02) ◽  
pp. 1260026 ◽  
Author(s):  
L. J. BOYA
Keyword(s):  
Hilbert Space ◽  
General Relativity ◽  
Quantum Mechanics ◽  
Path Integral ◽  
Riemannian Manifolds ◽  
Symplectic Geometry ◽  
Gauge Theories ◽  
Classical Mechanics ◽  
The Past ◽  
Modern Physics

Geometry and Physics developed independently, until the past twentieth century, where physicists realized geometry is rather flexible and can adapt itself to the needs and characteristics of modern physics. Besides the use of Riemannian manifolds to describe General Relativity, classical mechanics encounters symplectic geometry, not to speak of the bundle connection ingredient of modern gauge theories; even Quantum Mechanics, after the initial Hilbert space period, is seeking nowadays to adapt itself better to a geometrical interpretation, by imperatives of the path integral description and also to incorporate more clearly the symplectic aspects of its classical antecedent.

scholarly journals Path integral for the loop representation of lattice gauge theories

1996 ◽  
Vol 54 (12) ◽  
pp. 7751-7756 ◽  
Author(s):  
J. M. Aroca ◽  
H. Fort ◽  
R. Gambini
Keyword(s):  
Path Integral ◽  
Gauge Theories ◽  
Lattice Gauge ◽  
Lattice Gauge Theories
Sign in / Sign up

Export Citation Format

Share Document