scholarly journals SCHWINGER EFFECT IN NONPARALLEL D1-BRANES: A PATH INTEGRAL APPROACH

2010 ◽  
Vol 25 (22) ◽  
pp. 4301-4310
Author(s):  
A. JAHAN ◽  
D. KAMANI
Keyword(s):  
Electric Field ◽  
Bosonic Strings ◽  
Path Integral ◽  
Background Field ◽  
Pair Creation ◽  
Integral Approach ◽  
Integral Formalism ◽  
Schwinger Effect ◽  
The One ◽  
Creation Rate

We study the Schwinger effect in a system of nonparallel D1-branes for the bosonic strings using the path integral formalism. We drive the string pair creation rate by calculating the one-loop vacuum amplitude of the setup in presence of the background electric field defined along one of the D1-branes. We find an angle dependent minimum value for the background field and show that the decaying of vacuum into string pairs takes place for the field above this value. It is shown that in [Formula: see text] limit the vacuum becomes stable and thus no pair creation occurs.

scholarly journals ON THE STRING PAIR CREATION IN Dp–Dp′ BRANE SYSTEM

2011 ◽  
Vol 26 (03) ◽  
pp. 215-222
Author(s):  
K. FARHOODI ◽  
M. MOGHISE ◽  
A. JAHAN
Keyword(s):  
Electric Field ◽  
Path Integral ◽  
Pair Creation ◽  
Bosonic String ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
The Common ◽  
The One ◽  
Creation Rate

We address the bosonic string pair creation in a system of parallel D p– D p′ (p<p′) branes by applying the path integral formalism. We drive the string pair creation rate by calculating the one-loop vacuum amplitude of the setup in the presence of the background electric field defined over the D p′-brane. It is pointed out that just the components of the electric field defined over the p spatial directions (the common directions along which the both D-branes are extended) give rise to the pair creation.

scholarly journals Axion assisted Schwinger effect

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Valerie Domcke ◽  
Yohei Ema ◽  
Kyohei Mukaida
Keyword(s):  
Electric Field ◽  
Production Rate ◽  
Strong Electric Field ◽  
Background Field ◽  
Chiral Anomaly ◽  
Fermion Mass ◽  
Anomaly Equation ◽  
Electric And Magnetic Fields ◽  
Schwinger Effect ◽  
Momentum Transverse

Abstract We point out an enhancement of the pair production rate of charged fermions in a strong electric field in the presence of time dependent classical axion-like background field, which we call axion assisted Schwinger effect. While the standard Schwinger production rate is proportional to $$ \exp \left(-\pi \left({m}^2+{p}_T^2\right)/E\right) $$ exp − π m 2 + p T 2 / E , with m and pT denoting the fermion mass and its momentum transverse to the electric field E, the axion assisted Schwinger effect can be enhanced at large momenta to exp(−πm2/E). The origin of this enhancement is a coupling between the fermion spin and its momentum, induced by the axion velocity. As a non-trivial validation of our result, we show its invariance under field redefinitions associated with a chiral rotation and successfully reproduce the chiral anomaly equation in the presence of helical electric and magnetic fields. We comment on implications of this result for axion cosmology, focussing on axion inflation and axion dark matter detection.

scholarly journals Path-integral approach to the one-dimensional large-UHubbard model

1992 ◽  
Vol 45 (14) ◽  
pp. 7850-7871 ◽  
Author(s):  
Z. Y. Weng ◽  
D. N. Sheng ◽  
C. S. Ting ◽  
Z. B. Su
Keyword(s):  
Path Integral ◽  
Integral Approach ◽  
One Dimensional ◽  
Path Integral Approach ◽  
The One

Dirac oscillator in a uniform electric field: Path integral treatment

2019 ◽  
Vol 34 (30) ◽  
pp. 1950246
Author(s):  
Hassene Bada ◽  
Mekki Aouachria
Keyword(s):  
Energy Spectrum ◽  
Electric Field ◽  
Path Integral ◽  
Uniform Electric Field ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
Fermionic Model ◽  
Internal Motions ◽  
Integral Treatment ◽  
The One

In this paper, the propagator of a two-dimensional Dirac oscillator in the presence of a uniform electric field is derived by using the path integral technique. The fact that the globally named approach is used in this work redirects, beforehand, our search for the propagator of the Dirac equation to that of the propagator of its quadratic form. The internal motions relative to the spin are represented by two fermionic oscillators, which are described by Grassmannian variables, according to Schwinger’s fermionic model. Once the integration over the anticommuting variables (Grassmannian variables) is accomplished, the problem becomes the one of finding a non-relativistic propagator with only bosonic variables. The energy spectrum of the electron and the corresponding eigenspinors are also obtained in this work.

Path-integral approach to anomalies at finite temperature

1990 ◽  
Vol 68 (1) ◽  
pp. 96-103 ◽  
Author(s):  
T. F. Treml
Keyword(s):  
Vector Field ◽  
Path Integral ◽  
Finite Temperature ◽  
Dimensional Regularization ◽  
Flat Space ◽  
Integral Approach ◽  
Chiral Anomaly ◽  
Conformal Anomaly ◽  
Path Integral Approach ◽  
The One

The non-Abelian chiral anomaly for a fermion interacting with an external vector field in any even dimension and the conformal anomaly, in the limit of flat space–time, for a self-interacting scalar field are shown to be independent of temperature using a simple path-integral approach that employs dimensional regularization. The chiral anomaly is used as an example to show that the methods used to study the dimensionally regularized anomaly at finite temperature are readily transferable to the case of ζ-function regularization. The conformal anomaly in (super) string theory at finite temperature is briefly discussed in the light of known results. Some subtleties concerning the use of infrared cutoffs in a dimensionally regularized approach to the computation of the one-loop effective action at finite temperature are considered in an appendix.

scholarly journals A THEORY OF ALGEBRAIC INTEGRATION

2000 ◽  
Vol 14 (22n23) ◽  
pp. 2293-2297
Author(s):  
R. CASALBUONI
Keyword(s):  
Large Class ◽  
Configuration Space ◽  
Path Integral ◽  
Physical Principle ◽  
Integral Approach ◽  
Path Integral Approach ◽  
The One ◽  
Definition Of

In this paper we study the problem of quantizing theories defined over a nonclassical configuration space. If one follows the path-integral approach, the first problem one is faced with is the one of definition of the integral over such spaces. We consider this problem and we show how to define an integration which respects the physical principle of composition of the probability amplitudes for a very large class of algebras.

scholarly journals PATH INTEGRAL APPROACH TO FERMIONIC VACUUM ENERGY IN NON-PARALLEL D1-BRANES

2010 ◽  
Vol 25 (32) ◽  
pp. 2763-2768 ◽  
Author(s):  
A. JAHAN
Keyword(s):  
Path Integral ◽  
Vacuum Energy ◽  
Integral Approach ◽  
Superstring Theory ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Path Integral Approach

The fermionic one-loop vacuum energy of the superstring theory in a system of non-parallel D1-branes is derived by applying the path integral formalism.

scholarly journals Relativistic Oscillators in a Noncommutative Space: a Path Integral Approach

2012 ◽  
Vol 67 (1-2) ◽  
pp. 77-88 ◽  
Author(s):  
H. Benzair ◽  
M. Merad ◽  
T. Boudjedaa ◽  
A. Makhlouf
Keyword(s):  
Path Integral ◽  
Integral Approach ◽  
Noncommutative Space ◽  
Integral Formalism ◽  
Path Integral Formalism ◽  
Energy Eigenvalues ◽  
Path Integral Approach ◽  
Klein Gordon ◽  
Spatial Coordinates

In this paper, we consider the dynamics of Klein-Gordon and Dirac oscillators in (2+1) dimensions with noncommutativity of the spatial coordinates using the supersymmetric path integral formalism. The propagator is calculated and the energy eigenvalues with their corresponding eigenfunctions are deduced.

Sign in / Sign up

Export Citation Format

Share Document