CP, T and CPT in the non-perturbative formulation of chiral gauge theories

Hasenfratz, P.; Bissegger, Moritz

doi:10.1016/j.physletb.2005.03.015

Cited by 9 publications

(13 citation statements)

References 15 publications

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“…where for the formulation of time reversal in the Euclidean path integral we refer to [14]. Finally, a useful relation for the contractions is obtained by taking the complex conjugate of the contraction, followed by a parity transformation and charge conjugation.…”

Section: Lattice Contractions and Their Symmetry Propertiesmentioning

confidence: 99%

Two-current correlations in the pion on the lattice

Bali

Bruns

Castagnini

et al. 2018

J. High Energ. Phys.

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We perform a systematic study of the correlation functions of two quark currents in a pion using lattice QCD. We obtain good signals for all but one of the relevant Wick contractions of quark fields. We investigate the quark mass dependence of our results and test the importance of correlations between the quark and the antiquark in the pion. Our lattice data are compared with predictions from chiral perturbation theory. arXiv:1807.03073v2 [hep-lat]

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Section: Lattice Contractions and Their Symmetry Propertiesmentioning

confidence: 99%

Two-current correlations in the pion on the lattice

Bali

Bruns

Castagnini

et al. 2018

J. High Energ. Phys.

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“…It also causes an obstruction in constructing the simplest supersymmetric model, the Wess-Zumino model on a lattice, and in showing CP invariance of chiral gauge theory, see e.g. [5,24,25].…”

mentioning

confidence: 99%

“…CP invariance in chiral gauge theories.-It has been widely recognised that there is an obstruction in showing CP invariance of chiral gauge theories, see e.g [24,25]. Consider the standard lattice action of a chiral gauge theory…”

mentioning

confidence: 99%

Majorana fermions and CP-invariance of chiral gauge theories on the lattice

Igarashi

Pawlowski

2009

Nuclear Physics B

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The construction of massless Majorana fermions with chiral Yukawa couplings on the lattice is considered. We find topological obstructions tightly linked to those underlying the Nielsen-Ninomiya no-go theorem. In contradistinction to chiral fermions the obstructions originate only from the combination of the Dirac action and the Yukawa term. These findings are used to construct a chirally invariant lattice action. We also show that the path integral of this theory is given by the Pfaffian of the corresponding Dirac operator. As an application of the approach set-up here we construct a CP-invariant lattice action of a chiral gauge theory, based on a lattice adaptation of charge conjugation and parity transformation in the continuum.

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“…Due to the GW equation one of the two sets of projectors must depend on the Dirac operator and thus on the gauge field. This leads to unwanted CP violating terms [6,7] and the problem of having an additional gauge field dependence in the integration measure of the lattice path integral of the chiral gauge theory.…”

Section: Introductionmentioning

confidence: 99%

New overlap construction of Weyl fermions on the lattice

Gattringer¹,

Pak²

2008

Nuclear Physics B

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In a recent article Hasenfratz and von Allmen have suggested a fixed point action for two flavors of Weyl fermions on the lattice with gauge group SU(2). The block-spin transformation they use maps the chiral and vector symmetries of the underlying vector theory onto two equations of the Ginsparg-Wilson (GW) type. We show that an overlap Dirac operator can be constructed which solves both GW equations simultaneously. We discuss the properties of this overlap operator and its projection onto lattice Weyl fermions which seems to be free of artefacts, in particular the projection operators are independent of the gauge field.

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CP, T and CPT in the non-perturbative formulation of chiral gauge theories

Cited by 9 publications

References 15 publications

Two-current correlations in the pion on the lattice

Two-current correlations in the pion on the lattice

Majorana fermions and CP-invariance of chiral gauge theories on the lattice

New overlap construction of Weyl fermions on the lattice

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