Stochastic quantization of a Fermi field: Fermions as solitons

DOI10.1063/1.527606zbMath0625.60119OpenAlexW1976323039MaRDI QIDQ3028065

Kohinur Hajra, Pratul Bandyopadhyay

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527606

zbMATH Keywords

stochastic quantizationfermionizationinternal anisotropy

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (20)

TOPOLOGICAL ASPECTS OF CHIRAL ANOMALY, ORIGIN OF MASS AND ELECTROWEAK THEORY ⋮ Topological aspects of a fermion and the chiral anomaly ⋮ Gravity without metric, torsion, and topological gravity ⋮ Stochastic field theory, holomorphic quantum mechanics, and supersymmetry ⋮ A geometrical formulation of Abelian gauge structure in non-Abelian gauge theories and disconnected gauge group ⋮ Topological aspects of SU(2) Weyl fermion and global anomaly ⋮ A GEOMETRICAL APPROACH TOWARDS ENTANGLEMENT ⋮ Quantum geometry and entanglement entropy of a black hole ⋮ Fermions, loop quantum gravity and geometry ⋮ The geometric phase and the spin-statistics relation ⋮ Fermion doubling on a lattice and topological aspects of chiral anomaly ⋮ Stochastic field theory at finite temperature and equilibrium states in quantum statistical mechanics ⋮ NONCOMMUTATIVE GEOMETRY, GEOMETRICAL ASPECTS OF SKYRMIONS AND STRING THEORY ⋮ Stochastic quantization of a dissipative dynamical system and its hydrodynamical interpretation ⋮ TOPOLOGICAL MASS GENERATION, ELECTROWEAK SYMMETRY BREAKING AND BARYOGENESIS ⋮ A gauge theoretical formulation of a frustrated Ising system ⋮ Topological Aspects of Quantum Hall Fluid and Berry Phase ⋮ CONFORMAL FIELD THEORY, QUANTUM GROUP AND BERRY PHASE ⋮ NONCOMMUTATIVE GEOMETRY, QUANTIZATION AND TOPOLOGICAL ASPECTS OF A FERMION ⋮ AREA PRESERVING DIFFEOMORPHISM, QUANTUM GROUP AND BERRY PHASE

Cites Work

• A generalization of the non-linear sigma-model to four dimensions
• Stochastic fields from stochastic mechanics
• Connection between Spin, Statistics, and Kinks
• Topological Analysis of a Nonlinear Field Theory

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