Smooth bosonization: The Cheshire cat revisited

Damgaard, Poul H.; Nielsen, H.B.; Sollacher, R.

doi:10.1016/0550-3213(92)90100-p

Cited by 59 publications

(85 citation statements)

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“…Let us illustrate these last considerations by the example of a two-dimensional field theory of Dirac fermions coupled to external Abelian axial sources [5]. The Pauli-Villars-regularized version reads…”

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confidence: 99%

“…It arises in the 2-dimensional context of "smooth bosonization" if one follows the path of ref. [5] and in the general discussion of an effective U (1) flavour-singlet Lagrangian using collective fields [6]. In both of these examples, one essentially has to "gauge fix on the chiral anomaly", and for this reason the solution to that particular gauge-fixing problem was called "anomalous gauge fixing".…”

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confidence: 99%

“…In refs. [5,6,7] various valid solutions to this rather unusual gauge-fixing problems were presented, but no general procedure was outlined. We emphasize again that modifications to the naive rules of (BRST) gauge fixing are required in all of these cases, and that these modifications are inescapable if one wishes to correctly describe the quantum mechanical phenomena in those gauges.…”

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confidence: 99%

“…To see that highly unusual gauges can be reached in this manner, let us follow a simplified version of the example given in ref. [5]. The most interesting gauge is the "bosonization gauge".…”

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confidence: 99%

“…The missing gauge degree of freedom can be re-introduced through a field redefinitions of the original fieldsψ, ψ. We follow the example of [5] and choose a chiral transformation…”

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confidence: 99%

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BRST gauge fixing and regularization

1995

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In the presence of consistent regulators, the standard procedure of BRST gauge fixing (or moving from one gauge to another) can require non-trivial modifications. These modifications occur at the quantum level, and gauges exist which are only well-defined when quantum mechanical modifications are correctly taken into account. We illustrate how this phenomenon manifests itself in the solvable case of two-dimensional bosonization in the path-integral formalism. As a by-product, we show how to derive smooth bosonization in Batalin-Vilkovisky Lagrangian BRST quantization. UUITP-8/95 NIKHEF-H 95-017hep-th/9505040 * On leave of absence from the Niels Bohr Institute,

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“…The missing gauge degree of freedom can be re-introduced through a field redefinitions of the original fieldsψ, ψ. We follow the example of [5] and choose a chiral transformation…”

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confidence: 99%

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BRST gauge fixing and regularization

1995

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BRST Cohomology and Hilbert Spaces of Non-Abelian Models in the Decoupled Path Integral Formulation

Rothe¹,

Scholtz

Theron

1997

Annals of Physics

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The existence of several nilpotent Noether charges in the decoupled formulation of twodimensional gauge theories does not imply that all of these are required to annihilate the physical states. We elucidate this matter in the context of simple quantum mechanical and field theoretical models, where the structure of the Hilbert space is known. We provide a systematic procedure for deciding which of the BRST conditions is to be imposed on the physical states in order to ensure the equivalence of the decoupled formulation to the original, coupled one.1997 Academic Press

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Quantum Equivalence Principle

Kleinert

1997

NATO ASI Series

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A simple mapping procedure is presented by which classical orbits and path integrals for the motion of a point particle in flat space can be transformed directly into those in curved space with torsion. Our procedure evolved from well-established methods in the theory of plastic deformations, where crystals with defects are described mathematically as images of ideal crystals under active nonholonomic coordinate transformations. Our mapping procedure may be viewed as a natural extension of Einstein's famous equivalence principle. When applied to time-sliced path integrals, it gives rise to a new quantum equivalence principle which determines short-time action and measure of fluctuating orbits in spaces with curvature and torsion. The nonholonomic transformations possess a nontrivial Jacobian in the path integral measure which produces in a curved space an additional term proportional to the curvature scalar R, thus canceling a similar term found earlier by DeWitt. This cancelation is important for correctly describing semiclassically and quantum mechanically various systems such as the hydrogen atom, a particle on the surface of a sphere, and a spinning top. It is also indispensable for the process of bosonization, by which Fermi particles are redescribed by those fields.

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Smooth bosonization: The Cheshire cat revisited

Cited by 59 publications

References 20 publications

BRST gauge fixing and regularization

BRST gauge fixing and regularization

BRST Cohomology and Hilbert Spaces of Non-Abelian Models in the Decoupled Path Integral Formulation

Quantum Equivalence Principle

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