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

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.

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

International Journal of Modern Physics A ◽

10.1142/s0217751x10050378 ◽

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.

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A generalization of the one-dimensional boson-fermion duality through the path-integral formalism

Annals of Physics ◽

10.1016/j.aop.2021.168657 ◽

2021 ◽

pp. 168657

Author(s):

Satoshi Ohya

Keyword(s):

Path Integral ◽

Integral Formalism ◽

One Dimensional ◽

Path Integral Formalism ◽

The One

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INTERACTION OF D-STRING WITH F-STRING: A PATH-INTEGRAL FORMALISM

International Journal of Modern Physics A ◽

10.1142/s0217751x99000774 ◽

1999 ◽

Vol 14 (10) ◽

pp. 1531-1550 ◽

Cited By ~ 7

Author(s):

SUPRIYA KAR ◽

YOICHI KAZAMA

Keyword(s):

Path Integral ◽

Vertex Operators ◽

Integral Formalism ◽

Future Directions ◽

Elementary Excitations ◽

Path Integral Formalism ◽

Conformally Invariant ◽

Quantum Amplitude ◽

Local Vertex ◽

The One

A path integral formalism is developed to study the interaction of an arbitrary curved Dirichlet (D-) string with elementary excitations of the fundumental (F-) string in bosonic string theory. Up to the next-to-leading order in the derivative expansion, we construct the properly renormalized vertex operator, which generalizes the one previously obtained for a D-particle moving along a curved trajectory. Using this vertex, an attempt is further made to quantize the D-string coordinates and to compute the quantum amplitude for scattering between elementary excitations of the D- and F-strings. By studying the dependence on the Liouville mode for the D-string, it is found that the vertex in our approximation consists of an infinite tower of local vertex operators which are conformally invariant on their respective mass-shell. This analysis indicates that, unlike the D-particle case, an off-shell extension of the interaction vertex would be necessary to compute the full amplitude and that the realization of symmetry can be quite nontrivial when the dual extended objects are simultaneously present. Possible future directions are suggested.

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DERIVATION OF ELECTROWEAK CHIRAL LAGRANGIAN FROM ONE FAMILY TECHNICOLOR MODEL

Modern Physics Letters A ◽

10.1142/s0217732309028229 ◽

2009 ◽

Vol 24 (09) ◽

pp. 693-702 ◽

Cited By ~ 1

Author(s):

HONG-HAO ZHANG ◽

KAI-XI FENG ◽

SHAO-ZHOU JIANG ◽

QING WANG

Keyword(s):

Path Integral ◽

Numerical Results ◽

First Principle ◽

Integral Formalism ◽

Path Integral Formalism ◽

Scalar Mesons ◽

Technicolor Model ◽

The One ◽

Pseudo Scalar ◽

Chiral Lagrangian

Based on previous studies deriving the chiral Lagrangian for pseudo scalar mesons from the first principle of QCD in the path integral formalism, we derive the electroweak chiral Lagrangian and dynamically compute all its coefficients from the one family technicolor model. The numerical results of the p4 order coefficients obtained in this paper are proportional to the technicolor number N TC and the technifermion number N TF , which agrees with the arguments in previous works, and which confirms the reliability of this dynamical computation.

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