The phase structure of a chirally invariant lattice Higgs-Yukawa model—numerical simulations

Gerhold, Philipp; Jansen, Karl

doi:10.1088/1126-6708/2007/10/001

Cited by 55 publications

(79 citation statements)

References 34 publications

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“…The results from the large N f analysis performed here have been confronted with numerical simulations in ref. [16] and indeed, a good qualitative agreement has been found at small values of N f .…”

Section: Jhep09(2007)041supporting

confidence: 65%

“…The effect of the latter terms and especially the asymmetry in m and s is clearly observed in corresponding Monte-Carlo simulations [16] on small lattices and large values of the Yukawa coupling constant y N . Moreover, the result in eq.…”

Section: Jhep09(2007)041mentioning

confidence: 81%

“…(2.13) can also easily be connected to the usual continuum notation 16) which explicitly involves a bare mass m 0 and the forward difference quotient ∇ f µ . This connection is established by scaling the field and coupling constants according to…”

Section: Jhep09(2007)041mentioning

confidence: 99%

“…[16] with the results of corresponding Monte-Carlo simulations including the chiral invariant fermions in a fully dynamical manner.…”

Section: Jhep09(2007)041mentioning

confidence: 99%

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The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant

Gerhold¹,

Jansen²

2007

J. High Energy Phys.

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We consider a chirally invariant lattice Higgs-Yukawa model based on the Neuberger overlap operator D (ov) . As a first step towards the eventual determination of Higgs mass bounds we study the phase diagram of the model analytically in the large N flimit. We present an expression for the effective potential at tree-level in the regime of small Yukawa and quartic coupling constants and determine the order of the phase transitions. In the case of strong Yukawa couplings the model effectively becomes an O(4)-symmetric nonlinear σ-model for all values of the quartic coupling constant. This leads to the existence of a symmetric phase also in the regime of large values of the Yukawa coupling constant. On finite and small lattices, however, strong finite volume effects prevent the expectation value of the Higgs field from vanishing thus obscuring the existence of the symmetric phase at strong Yukawa couplings.

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Section: Jhep09(2007)041supporting

confidence: 65%

Section: Jhep09(2007)041mentioning

confidence: 81%

Section: Jhep09(2007)041mentioning

confidence: 99%

“…[16] with the results of corresponding Monte-Carlo simulations including the chiral invariant fermions in a fully dynamical manner.…”

Section: Jhep09(2007)041mentioning

confidence: 99%

See 2 more Smart Citations

The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant

Gerhold¹,

Jansen²

2007

J. High Energy Phys.

Self Cite

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“…The search for such fixed points in four-dimensions has been less successful, although efforts to find them continue in the context of Yukawa models [3][4][5][6]. One of the motivations for their search is to understand new dynamical mechanisms for fermion mass generation that may be realized in nature.…”

Section: Introductionmentioning

confidence: 99%

Massive fermions without fermion bilinear condensates

Ayyar

Chandrasekharan

2015

Phys. Rev. D

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We study a lattice field theory model containing two flavors of massless staggered fermions with an onsite four-fermion interaction. The model contains a SU (4) symmetry which forbids nonzero fermion bilinear mass terms, due to which there is a massless fermion phase at weak couplings. However, even at strong couplings fermion bilinear condensates do not appear in our model, although fermions do become massive. While the existence of this exotic strongly coupled massive fermion phase was established long ago, the nature of the transition between the massless and the massive phase has remained unclear. Using Monte Carlo calculations in three space-time dimensions, we find evidence for a direct second order transition between the two phases suggesting that the exotic lattice phase may have a continuum limit at least in three dimensions. A similar exotic second order critical point was found recently in a bilayer system on a honeycomb lattice.

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Higgs boson mass bounds in the presence of a very heavy fourth quark generation

Gerhold

Jansen

Kallarackal

2011

J. High Energ. Phys.

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Abstract:We study the effect of a potential fourth quark generation on the upper and lower Higgs boson mass bounds. This investigation is based on the numerical evaluation of a chirally invariant lattice Higgs-Yukawa model emulating the same Higgs-fermion coupling structure as in the Higgs sector of the electroweak Standard Model. In particular, the considered model obeys a Ginsparg-Wilson version of the underlying SU(2) L × U(1) Y symmetry, being a global symmetry here due to the neglection of gauge fields in this model. We present our results on the modification of the upper and lower Higgs boson mass bounds induced by the presence of a hypothetical very heavy fourth quark doublet. Finally, we compare these findings to the standard scenario of three fermion generations.

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The phase structure of a chirally invariant lattice Higgs-Yukawa model—numerical simulations

Cited by 55 publications

References 34 publications

The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant

The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant

Massive fermions without fermion bilinear condensates

Higgs boson mass bounds in the presence of a very heavy fourth quark generation

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