A PATH-INTEGRAL APPROACH FOR BOSONIC EFFECTIVE THEORIES FOR FERMION FIELDS IN FOUR AND THREE DIMENSIONS

We study four-dimensional effective bosonic field theories for (A) massive fermion field in the infrared region and (B) massive fermion in the ultraviolet region by using an appropriate fermion path integral chiral variable change and (C) Polyakov's Fermi–Bose transmutation in the 3D-Abelian Thirring model and its triviality as a quantum field theory.

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PATH-INTEGRAL APPROACH FOR ELECTRON–PHONON INTERACTION EFFECTS IN HARMONIC QUANTUM DOTS

International Journal of Modern Physics B ◽

10.1142/s0217979296001252 ◽

1996 ◽

Vol 10 (22) ◽

pp. 2781-2796 ◽

Cited By ~ 23

Author(s):

SOMA MUKHOPADHYAY ◽

ASHOK CHATTERJEE

Keyword(s):

Quantum Dots ◽

Path Integral ◽

State Energy ◽

Coupling Parameter ◽

Three Dimensions ◽

Integral Approach ◽

Phonon Coupling ◽

Electron Phonon Interaction ◽

Electron Phonon Coupling ◽

Parabolic Confinement

We use the Feynman–Haken path-integral formalism to obtain the polaronic correction to the ground state energy of an electron in a polar semiconductor quantum dot with parabolic confinement in both two and three dimensions. We perform calculations for the entire range of the electron–phonon coupling parameter and for arbitrary confinement length. We apply our results to several semiconductor quantum dots and show that the polaronic effect in some of these dots can be considerably large if the dot sizes are made smaller than a few nanometers.

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Path integral approach for spaces of nonconstant curvature in three dimensions

Physics of Atomic Nuclei ◽

10.1134/s1063778807030131 ◽

2007 ◽

Vol 70 (3) ◽

pp. 537-544

Author(s):

C. Grosche

Keyword(s):

Path Integral ◽

Three Dimensions ◽

Integral Approach ◽

Path Integral Approach

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Path Integral Calculations of Particle Self-Energy and Effective Mass in Coulomb Systems

Modern Physics Letters B ◽

10.1142/s0217984997000189 ◽

1997 ◽

Vol 11 (04) ◽

pp. 129-138 ◽

Cited By ~ 2

Author(s):

V. Sa-Yakanit ◽

V. D. Lakhno ◽

Klaus Haß

Keyword(s):

Effective Mass ◽

Path Integral ◽

State Energy ◽

Coulomb Systems ◽

Integral Approach ◽

Coupling Region ◽

Self Energy ◽

Consistent Approximation ◽

A Value ◽

Wide Range

The generalized path integral approach is applied to calculate the ground state energy and the effective mass of an electron-plasmon interacting system for a wide range of densities. It is shown that in the self-consistent approximation an abrupt transition between the weak coupling and the strong coupling region of interaction exists. The transition occurs at low electron densities according to a value of 418 for rs, when Wigner crystallization is possible. For densities of real metals, the electron bandwidth is calculated and a comparison with experimental results is given.

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