Path integral in superspace for a relativistic spinor particle in an external gauge field

1982 ◽  
Vol 51 (3) ◽  
pp. 535-540 ◽  
Author(s):  
N. V. Borisov ◽  
P. P. Kulish
Keyword(s):  
Gauge Field ◽  
Path Integral ◽  
Spinor Particle ◽  
External Gauge

scholarly journals Topological violation of global symmetries in quantum gravity

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Kazuya Yonekura
Keyword(s):  
Quantum Gravity ◽  
Global Symmetries ◽  
Gauge Field ◽  
Path Integral ◽  
Black Brane ◽  
Current Conservation ◽  
Charge Conservation ◽  
Local Current ◽  
Topological Construction ◽  
Breaking Term

Abstract We discuss a topological reason why global symmetries are not conserved in quantum gravity, at least when the symmetry comes from compactification of a higher form symmetry. The mechanism is purely topological and does not require any explicit breaking term in the UV Lagrangian. Local current conservation does not imply global charge conservation in a sum over geometries in the path integral. We explicitly consider the shift symmetry of an axion-like field which originates from the compactification of a p-form gauge field. Our topological construction is motivated by the brane/black-brane correspondence, brane instantons, and an idea that virtual black branes of a simple kind may be realized by surgery on spacetime manifolds.

scholarly journals Comments on open string with ‘massive’ boundary term

2020 ◽  
Vol 476 (2236) ◽  
pp. 20190748
Author(s):  
Arkady A. Tseytlin
Keyword(s):  
Scattering Amplitudes ◽  
Partition Function ◽  
Gauge Field ◽  
Path Integral ◽  
Open String ◽  
One Dimensional ◽  
Conformally Invariant ◽  
Additional Constant ◽  
The One ◽  
Definition Of

We discuss possible definition of open string path integral in the presence of additional boundary couplings corresponding to the presence of masses at the ends of the string. These couplings are not conformally invariant implying that as in a non-critical string case one is to integrate over the one-dimensional metric or reparametrizations of the boundary. We compute the partition function on the disc in the presence of an additional constant gauge field background and comment on the structure of the corresponding scattering amplitudes.

A path integral for a nonrelativistic spinor particle

1990 ◽  
Vol 31 (5) ◽  
pp. 1189-1197 ◽  
Author(s):  
Takashi Miura
Keyword(s):  
Path Integral ◽  
Spinor Particle

scholarly journals Dirac Particle in External Non-Abelian Gauge Field

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Bilel Hamil ◽  
Lyazid Chetouani
Keyword(s):  
Green Function ◽  
Gauge Field ◽  
Path Integral ◽  
Dirac Particle ◽  
Integral Formalism ◽  
Abelian Gauge ◽  
Lorentz Gauge ◽  
Path Integral Formalism ◽  
The Green Function

The Green function of a Dirac particle in interaction with a non-Abelian SU(N) gauge field exactly and analytically determined via the path integral formalism by using the approach so-called “global projection.” The essential steps in the calculation are the choice of a convenient gauge (Lorentz gauge) and the introduction of two constraints, φ=kx (related to space) and Grassmannian η=kψ (related to Dirac matrices). Furthermore, it is shown that certain selected equations obtained during the integrations can also be classically derived.

FRACTIONAL STATISTICS INDUCED BY GAUGE FIELDS

1991 ◽  
Vol 06 (05) ◽  
pp. 391-398 ◽  
Author(s):  
ASHOK CHATTERJEE ◽  
V.V. SREEDHAR
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Path Integral ◽  
Simple Proof ◽  
Scalar Particle ◽  
Gauge Fields ◽  
Fractional Statistics ◽  
Chern Simons

An explicit extension of Polyakov’s analysis of a scalar particle coupled to an Abelian Chern-Simons gauge theory to the case of two particles and arbitrary values of the coupling is given. A simple proof of the emergence of fractional statistics induced by the gauge field follows within the path-integral framework.

Multigrid Monte Carlo for a bose field in an external gauge field

1990 ◽  
Vol 331 (2) ◽  
pp. 531-540 ◽  
Author(s):  
Arjan Hulsebos ◽  
Jan Smit ◽  
Jeroen C. Vink
Keyword(s):  
Monte Carlo ◽  
Gauge Field ◽  
External Gauge
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