Qualitons from QCD

Damgaard, Poul H.; Sollacher, R.

doi:10.1016/0370-2693(94)90501-0

Cited by 18 publications

(17 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the treatment of this problem in ref. [5] the massive parameter κ 1 in the Jacobian is chosen to be zero. Instead the required terms -linear in m and m † -are generated by rewriting parts of the theory into the Schwinger model with a "perturbation" and evaluating a few relevant expectation values.…”

Section: Smooth Bosonization In 2d: the Massive Case Revisitedmentioning

confidence: 99%

“…Of course, our requirements for the bosonized theory can not be fulfilled with only the chiral phase, because topologically stable configurations can not be achieved with just one pseudoscalar field, but we will get an idea of what is going on. Thus, we perform the change of variables ψ → e iθγ 5 ψ,ψ →ψe iθγ 5 (20)…”

Section: Smooth Bosonization Of An Abelian Fermion In 4dmentioning

confidence: 99%

“…At this point we introduce further DOFs in the theory, corresponding to chiral translations. Thus we make the change of variables ψ → e ibµP µ γ 5 ψ,ψ →ψe ibµP µ γ 5 (45) in the path integral. This leads to a Jacobian and to the new Lagrangian…”

Section: Smooth Bosonization Of An Abelian Fermion In 4dmentioning

confidence: 99%

“…This is the scheme I will adopt here for 4D -hence the title of this paper. (This scheme has already been used to obtain partial bosonization in 4D for some special cases [4,5].) Briefly stated, the method is to perform a change of variables in the path integral, using instead a fermion that is locally rotated with a chiral phase θ(x).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Bosonization in four dimensions: the smooth way

Thomassen

2000

Nuclear Physics B

View full text Add to dashboard Cite

I investigate bosonization in four dimensions, using the smooth bosonization scheme. I argue that generalized chiral "phases" of the fermion field corresponding to chiral phase rotations and "chiral Poincaré transformations" are the appropriate degrees of freedom for bosonization. Smooth bosonization is then applied to an Abelian fermion coupled to an external vector. The result is an exact rewriting of the theory, including the fermion, the bosonic fields, and ghosts. Exact bosonization is therefore not achieved since the fermion and the ghosts are not completely eliminated. The action for the bosons is given by the Jacobian of a change of variables in the path integral, and I calculate parts of this. The action describes a nonlinear field theory, and thus static, topologically stable solitons may exist in the bosonic sector of the theory, which become the fermions of the original theory after quantization.

show abstract

Section: Smooth Bosonization In 2d: the Massive Case Revisitedmentioning

confidence: 99%

Section: Smooth Bosonization Of An Abelian Fermion In 4dmentioning

confidence: 99%

Section: Smooth Bosonization Of An Abelian Fermion In 4dmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Bosonization in four dimensions: the smooth way

Thomassen

2000

Nuclear Physics B

View full text Add to dashboard Cite

show abstract

“…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.…”

mentioning

confidence: 99%

BRST gauge fixing and regularization

1995

Self Cite

View full text Add to dashboard Cite

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,

show abstract

Bosonization in higher dimensions

1994

View full text Add to dashboard Cite

Using the recently discovered connection between bosonization and duality transformations, we give an explicit path-integral representation for the bosonization of a massive fermion coupled to a U1 gauge potential such as electromagnetism in d 2 space D = d + 1 3 spacetime dimensions. We perform this integral explicitly in the limit of large fermion mass. We nd that the bosonic theory is described by a rank d , 1 KalbRamond-type gauge potential, whose action is local for d = 2, but nonlocal for d 3. By coupling to a statistical Chern-Simons eld for d = 2 , w e obtain a bosonized formulation of anyons. The bosonic theory may be further dualized to a theory involving purely scalars, for any d, and we show this to be a higher-derivative theory for which the scalar decouples from the U1 gauge potential.

show abstract

Qualitons from QCD

Cited by 18 publications

References 18 publications

Bosonization in four dimensions: the smooth way

Bosonization in four dimensions: the smooth way

BRST gauge fixing and regularization

Bosonization in higher dimensions

Contact Info

Product

Resources

About