Non-relativistic fermions, coadjoint orbits of W[infinity] and string field theory at c=1

Journal Article · Fri Oct 30 04:00:00 EST 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392002512· OSTI ID:6912644

Dhar, A; Mandal, G; Wadia, S R ^[1]

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1. Tata Inst. of Fundamental Research, Bombay (India)

In this paper, the authors apply the method of coadjoint orbits of W[sub [infinity]]-algebra to the problem of non-relativistic fermions in one dimension. This leads to a geometric formulation of the quantum theory in terms of the quantum phase space distribution of the Fermi fluid. The action has an infinite series of expansion in the string coupling, which to leading order reduces to the previously discussed geometric action for the classical Fermi fluid based on the group w[sub [infinity]] of area-preserving diffeomorphisms. The authors briefly discuss the strong coupling limit of the string theory which, unlike the weak coupling regime, does not seem to admit a two-dimensional space-time picture. The authors' methods are equally applicable to interacting fermions in one dimension.

• OSTI ID: 6912644
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:33; ISSN 0217-7323; ISSN MPLAEQ
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COMPOSITE MODELS
COUPLING
EXTENDED PARTICLE MODEL
FERMI GAS
FERMIONS
FIELD THEORIES
FLUIDS
GASES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
ONE-DIMENSIONAL CALCULATIONS
PARTICLE MODELS
PHASE SPACE
QUANTUM FIELD THEORY
QUARK MODEL
SERIES EXPANSION
SPACE
STRING MODELS
TWO-DIMENSIONAL CALCULATIONS