Chiral gauge theories and fermion-Higgs systems

Petcher, Donald N.

doi:10.1016/0920-5632(93)90177-8

Cited by 50 publications

(36 citation statements)

References 61 publications

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“…Where available, it was always found that the true fermion spectrum is vectorlike (see ref. [7,9,43] for details).…”

Section: A the Robustness Of The No-go Theoremsmentioning

confidence: 99%

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The standard model from a new phase transition on the lattice

Shamir

1998

Phys. Rev. D

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Several years ago it was conjectured in the so-called Roma Approach [1], that gauge fixing is an essential ingredient in the lattice formulation of chiral gauge theories. In this paper we discuss in detail how the gauge-fixing approach may be realized. As in the usual (gauge invariant) lattice formulation, the continuum limit corresponds to a gaussian fixed point, that now controls both the transversal and the longitudinal modes of the gauge field. A key role is played by a new phase transition separating a conventional Higgs or Higgs-confinement phase, from a phase with broken rotational invariance. In the continuum limit we expect to find a scaling region, where the lattice correlators reproduce the euclidean correlation functions of the target (chiral) gauge theory, in the corresponding continuum gauge.11.15.Ha 12.15.-y 11.30.Rd

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“…Where available, it was always found that the true fermion spectrum is vectorlike (see ref. [7,9,43] for details).…”

Section: A the Robustness Of The No-go Theoremsmentioning

confidence: 99%

“…(This applies to many other chiral fermion proposals, see ref. [7,9].) In the second part of this paper, we examine the dynamics of the lattice longitudinal modes from a broader point of view.…”

Section: Introductionmentioning

confidence: 99%

The standard model from a new phase transition on the lattice

Shamir

1998

Phys. Rev. D

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“…The actual fermion spectrum can then be different from the naively expected one, and come out vectorlike rather than chiral. This is precisely what happens in many proposals which have been considered to date (for reviews, see [1]). …”

Section: Introductionmentioning

confidence: 95%

Gauge-fixing approach to lattice chiral gauge theories, part II

Böck

Golterman

Shamir

1998

Nuclear Physics B - Proceedings Supplements

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We report on recent progress with the definition of lattice chiral gauge theories, using a lattice action that includes a discretized Lorentz gauge-fixing term. This gauge-fixing term has a unique global minimum, and allows us to use perturbation theory in order to study the influence of the gauge degrees of freedom on the fermions. For the abelian case, we find, both in perturbation theory and numerically, that the fermions remain chiral, and that there are no doublers.

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“…2 is a possible interpolation between the limits M = ±∞ and F 2 π = ∞, partly inspired by the phase diagram of the Smit-Swift model and other related Higgs-Yukawa models [62][63][64]. Attempts to construct chiral gauge theories as the continuum limit of such lattice models have failed because it was impossible to remove the doubler fermions, both at weak and at strong Yukawa couplings [65]. Such problems do not affect our construction of lattice effective theories with nonlinearly realized chiral symmetry because, in that case, there is no need to approach a second order phase transition to extract low-energy continuum physics.…”

Section: From the Chiral Quark Model To Qcd?mentioning

confidence: 99%

Nonlinear realization of chiral symmetry on the lattice

Chandrasekharan

Steffen

Wiese

2003

J. High Energy Phys.

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We formulate lattice theories in which chiral symmetry is realized nonlinearly on the fermion fields. In this framework the fermion mass term does not break chiral symmetry. This property allows us to use the Wilson term to remove the doubler fermions while maintaining exact chiral symmetry on the lattice. Our lattice formulation enables us to address non-perturbative questions in effective field theories of baryons interacting with pions and in models involving constituent quarks interacting with pions and gluons. We show that a system containing a non-zero density of static baryons interacting with pions can be studied on the lattice without encountering complex action problems. In our formulation one can also decide non-perturbatively if the chiral quark model of Georgi and Manohar provides an appropriate low-energy description of QCD. If so, one could understand why the non-relativistic quark model works.

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Chiral gauge theories and fermion-Higgs systems

Abstract: The status of several proposals for defining a theory of chiral fermions on the lattice is reviewed and some new estimates for the upper bound on the Higgs mass are presented.

Cited by 50 publications

References 61 publications

The standard model from a new phase transition on the lattice

The standard model from a new phase transition on the lattice

Gauge-fixing approach to lattice chiral gauge theories, part II

Nonlinear realization of chiral symmetry on the lattice

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