Fermion masses at strong Wilson-Yukawa coupling in the symmetric phase

Böck, Wolfgang; De, Asit K.; Smit, Jan

doi:10.1016/0550-3213(92)90551-l

Cited by 35 publications

(39 citation statements)

References 40 publications

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“…Ideas closely related to that of EP have received attention in the past. In all cases studied, it was found that either the mirrors fail to decouple from the long distance physics or the purportedly light fermions also obtain mass [16][17][18][19][20][21][22].…”

Section: The Ideamentioning

confidence: 97%

A New Apparatus for Impact Collision Ion Scattering Spectroscopy

Kawamoto

Inari

Mori

et al. 1995

Jpn. J. Appl. Phys.

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We study 't Hooft anomaly matching in lattice models with strong Yukawa or multi-fermion interactions. Strong non-gauge interactions among the mirror fermions in a vectorlike lattice gauge theory are introduced with the aim to obtain, in a strongcoupling symmetric phase, a long-distance unbroken gauge theory with chiral fermions in a complex representation. We show how to use exact lattice chirality to analyze the anomaly matching conditions on chiral symmetry current correlators at finite lattice spacing and volume. We perform a Monte Carlo study of the realization of anomaly matching in a toy two-dimensional model with an anomalous mirror-fermion content at strong mirror Yukawa coupling. We show that 't Hooft anomaly matching is satisfied, in most of the phase diagram, via the minimal solution in either the massless fermion or "Goldstone" mode, while in some cases there are extra massless vectorlike mirror fermions. The mirror spectrum at strong coupling is thus consistent with long-distance unitarity. We discuss the implications of our results for future studies of the most interesting case of the decoupling of anomaly-free mirror-fermion sectors.

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Section: The Ideamentioning

confidence: 97%

A New Apparatus for Impact Collision Ion Scattering Spectroscopy

Kawamoto

Inari

Mori

et al. 1995

Jpn. J. Appl. Phys.

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“…which has non-zero charge with respect to gsymmetry reveals that in the absence of gauge fields, apparently no fermion states with nonsinglet g-quantum numbers appear in the symmetric phase [20,21,22,23]. One can understand this by realizing that the large coupling w has caused the original left-handed charged fermion ψ L to form a bound state with V † and this in turn pairs up with ψ R to form a Dirac fermion, screening the charge of the original state.…”

Section: The Wilson-yukawa Approachmentioning

confidence: 99%

Chiral gauge theories and fermion-Higgs systems

Petcher

1993

Nuclear Physics B - Proceedings Supplements

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“…The rough gauge problem was the main reason of failure of a full class of lattice chiral gauge theories [5,6]. These failures gave rise to the understanding that controlling the dynamics of lgdofs in these theories (in other words, gauge-fixing) is essential to avoid undesirable results.…”

Section: Introductionmentioning

confidence: 99%

Tricritical points in a compactU(1)lattice gauge theory at strong coupling

Sarkar

2016

Phys. Rev. D

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Pure compact U (1) lattice gauge theory exhibits a phase transition at gauge coupling g ∼ O(1) separating a familiar weak coupling Coulomb phase, having free massless photons, from a strong coupling phase. However, the phase transition was found to be of first order, ruling out any nontrivial theory resulting from a continuum limit from the strong coupling side. In this work, a compact U (1) lattice gauge theory is studied with addition of a dimension-two mass counterterm and a higher derivative (HD) term that ensures a unique vacuum and produces a covariant gauge-fixing term in the naive continuum limit. For a reasonably large coefficient of the HD term, now there exists a continuous transition from a regular ordered phase to a spatially modulated ordered phase. For weak gauge couplings, a continuum limit from the regular ordered phase results in a familiar theory consisting of free massless photons. For strong gauge couplings with g ≥ O(1), this transition changes from first order to continuous as the coefficient of the HD term is increased, resulting in tricritical points which appear to be a candidate in this theory for a possible nontrivial continuum limit.

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Fermion masses at strong Wilson-Yukawa coupling in the symmetric phase

Cited by 35 publications

References 40 publications

A New Apparatus for Impact Collision Ion Scattering Spectroscopy

A New Apparatus for Impact Collision Ion Scattering Spectroscopy

Chiral gauge theories and fermion-Higgs systems

Tricritical points in a compactU(1)lattice gauge theory at strong coupling

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