Absence of chiral fermions in the Eichten-Preskill model

Golterman, Maarten; Petcher, Donald N.; Rivas, Elena

doi:10.1016/0550-3213(93)90049-u

Cited by 61 publications

(91 citation statements)

References 20 publications

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“…It was claimed [12] that the E-P model fails to reach its goal on the basis that the E-P model and the Smit-Swift model [13] are in the same universality class and spontaneous breaking of symmetry occurs. This "universality" [15] between the "tt-condensate model" [16] and the Higgs-Yukawa model was shown based on renormalization group arguments (which however have been recently questioned [14] in the strong coupling region).…”

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confidence: 99%

A possible origin of the Wilson lattice fermion

Preparata

Xue

1994

Physics Letters B

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Considering relevant and irrelevant high-dimension operators for ordinary and mirror fermions respectively, we show that the Wilson lattice fermion can originate from a spontaneous symmetry breaking phenomenon. Ward identities, due to symmetries at the cutoff, guarantee the cancellation of mirror-fermion contributions and the infrared limit can be achieved. The Wilson parameter turns out to be fixed at r ≃ 0.18, where the vacuum energy of the system is minimized.

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confidence: 99%

A possible origin of the Wilson lattice fermion

Preparata

Xue

1994

Physics Letters B

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“…If K is small, we can expand fermionic quantities in terms of K and we call this expansion the hopping parameter expansion( HPE ) [6,8]. It is noted that the large r expansion [16] is also applicable to our simple action. We check that both expansions give the same results for the quantities we calculate in this papaer.…”

Section: The Model and The Decoupling Of Fermion Doublersmentioning

confidence: 99%

Fermion Interactions in the Wilson-Yukawa Approach for Lattice Chiral Gauge Theories

Aoki

1992

Progress of Theoretical Physics

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We consider fermion-gauge couplings in the Wilson-Yukawa approach for lattice chiral gauge theories. At the leading order of a fermionic hopping parameter expansion we find that the fermion-gauge coupling has a chiral and tree-like structure. We argue that this fermion-gauge coupling remains non-zero in the continuum limit taken in the Higgs phase. Possible fermionscalar couplings in this approach are considered. We also evaluate the fermion interaction with an external gauge field in the slightly modified model and show that it has a chiral structure in general.

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“…However, the same model of multifermion couplings with SO(10) chiral symmetry was studied in ref. [3], it was pointed out that such models of multifermion couplings fail to give chiral fermions in the continuum limit. The reasons 1 are that an NJL spontaneous symmetry breaking phase separating the strong-coupling symmetric phase from the weak-coupling symmetric phase, the right-handed Weyl states do not completely disassociate from the left-handed chiral fermions and the phase structure of such a model of multifermion couplings is similar to that of the Smit-Swift (Wilson-Yukawa) model [4], which has been very carefully studied and shown to fail.…”

Section: Introductionmentioning

confidence: 99%

A possible scaling region of chiral fermions on a lattice

Xue

1997

Nuclear Physics B

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We present the details of analyzing an SU L (2) ⊗ U R (1) chiral theory with multifermion couplings on a lattice. An existence of a possible scaling region in the phase space of multifermion couplings for defining the continuum limit of chiral fermions is advocated. In this scaling region, no spontaneous symmetry breaking occurs; the "spectator" fermion ψ R (x) is a free mode and decoupled; doublers are decoupled as massive Dirac fermions consistently with the SU L (2) ⊗ U R (1) chiral symmetry, whereas the normal mode of ψ i L (x) is plausibly speculated to be chiral in the continuum limit. This is not in agreement with the general belief of the definite failure of theories so constructed. March, 1996

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Absence of chiral fermions in the Eichten-Preskill model

Cited by 61 publications

References 20 publications

A possible origin of the Wilson lattice fermion

A possible origin of the Wilson lattice fermion

Fermion Interactions in the Wilson-Yukawa Approach for Lattice Chiral Gauge Theories

A possible scaling region of chiral fermions on a lattice

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