DERIVATION OF ELECTROWEAK CHIRAL LAGRANGIAN FROM ONE FAMILY TECHNICOLOR MODEL

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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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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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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