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

COVARIANT VS. UNITARY QUANTIZATION: SUPERSYMMETRIC RECONCILIATION

International Journal of Modern Physics A ◽

10.1142/s0217751x93000734 ◽

1993 ◽

Vol 08 (10) ◽

pp. 1773-1785

Author(s):

L. ROZANSKY

Keyword(s):

Path Integral ◽

Integral Formalism ◽

Quantization Procedure ◽

One Dimensional ◽

Path Integral Formalism ◽

Unitary Gauge ◽

Gravitational Theories ◽

Dirac Spin

A quantization of one-dimensional supergravity, which leads to a Dirac spin 1/2 particle, is considered. A propagator of this particle is calculated in the path integral formalism. A covariant procedure (which involves ghosts) is applied in the unitary gauge. We show that supersymmetry can remove the discrepancy between the covariant and unitary quantization procedure, which was discovered in Ref. 4 for the case of nonsupersymmetric gravitational theories.

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A new expansion method in the Feynman path integral formalism: Application to a one‐dimensional delta‐function potential

Journal of Mathematical Physics ◽

10.1063/1.1666355 ◽

1973 ◽

Vol 14 (5) ◽

pp. 554-559 ◽

Cited By ~ 26

Author(s):

M. J. Goovaerts ◽

A. Babcenco ◽

J. T. Devreese

Keyword(s):

Path Integral ◽

Expansion Method ◽

Delta Function ◽

Feynman Path Integral ◽

Integral Formalism ◽

Feynman Path ◽

One Dimensional ◽

Path Integral Formalism ◽

Function Potential

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

Modern Physics Letters A ◽

10.1142/s0217732311034748 ◽

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.

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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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