Yukawa lattice theory and non-perturbative upper bounds to the fermion mass

Borrelli, Arianna; Maiani, L.; Rossi, G.C.; Sisto, Renata; Testa, M.

doi:10.1016/0370-2693(89)91725-5

Cited by 81 publications

(64 citation statements)

References 13 publications

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“…Since we have learned that decoupling of these modes by keeping their mass at the cutoff does not prevent the bound states from being formed and destroying the chiral structure of the theory, perhaps enforcing gauge fixing on the lattice would do the trick. This is precisely the proposal of the Rome group [31], although historically this proposal was quite independent from the reasoning I have presented here. Originally the motivation of the Rome group was to define a theory motivated by perturbative gauge fixing as a prescription for obtaining a full nonperturbative asymptotically free chiral gauge theory.…”

Section: The Rome Proposalsupporting

confidence: 63%

Chiral gauge theories and fermion-Higgs systems

Petcher

1993

Nuclear Physics B - Proceedings Supplements

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Section: The Rome Proposalsupporting

confidence: 63%

Chiral gauge theories and fermion-Higgs systems

Petcher

1993

Nuclear Physics B - Proceedings Supplements

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“…The model then becomes very similar to the Rome proposal [5], which uses Wilson fermions. A non-per-turbative test of this gauge fixing approach is difficult because of technical obstacles.…”

Section: Final Remarksmentioning

confidence: 77%

“…Many proposals are formulated such that local gauge invariance on the lattice is preserved [3,4,[7][8][9]11].For example, using a Wilson term to decouple the doublers, one introduces extra scalar fields to make this mass term gauge invariant. Alternatively one can sacrifice gauge invariance of the lattice model and transcribe the gauge fixed continuum action to the lattice [5,6]. This avoids introducing extra scalar fields, but requires Fadeev-Popov and gauge fixing terms.…”

Section: Introductionmentioning

confidence: 99%

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Non-gauge fixing approach to chiral gauge theories using staggered fermions

1994

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We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. Motivated by previous results in the gauge non-invariant massive Yang-Mills theory and certain gauge-fermion models we aim at a dynamical restoration of the gauge invariance in the full quantum model. If the gauge symmetry breaking is not too severe, this procedure could lead in the continuum limit to the desired gauge invariant chiral gauge theory. This scenario is very attractive since it does not rely on gauge fixing. We investigate a simple realization of this approach in a 13(1) axial-vector model with dynamical fermions in four dimensions. A detailed numerical exploration of the phase diagram of this model on small lattices gives us no indication that the desired gauge symmetry restoration takes place. Since simulation of the model on larger lattices leads to severe numerical problems, we conclude that this simple realization of the non-gauge fixing approach has failed, at least in practice.

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“…The question is how to restore it in the quantum theory . One can mimic the continuum methods closely, by attempting non-perturbative gauge fixing and adding counterterms to restore gauge invariance [6]. An alternative approach focuses on a possible dynamical restoration of gauge invariance [3,5].…”

Section: Introductionmentioning

confidence: 99%

Staggered fermions for chiral gauge theories: Test on a two-dimensional axial-vector model

1994

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As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions . In our approach gauge invariance is broken, but it is restored in the classical continuum limit. We find that the continuum divergence relations for the vector and axial-vector currents are reproduced, up to contact terms, which we determine analytically . The current divergence relations are also studied numerically for smooth external gauge fields with topological charge zero. We furthermore investigate the effect of fluctuating gauge transformations and of gauge configurations with non-trivial topological charge .

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Yukawa lattice theory and non-perturbative upper bounds to the fermion mass

Cited by 81 publications

References 13 publications

Chiral gauge theories and fermion-Higgs systems

Chiral gauge theories and fermion-Higgs systems

Non-gauge fixing approach to chiral gauge theories using staggered fermions

Staggered fermions for chiral gauge theories: Test on a two-dimensional axial-vector model

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