Many avatars of the Wilson fermion: a perturbative analysis

Abhishek Chowdhury1, A. Harindranath1, Jyotirmoy Maiti2, Santanu Mondal1
1Theory Division, Saha Institute of Nuclear Physics, Kolkata, India
2Department of Physics, Barasat Government College, Barasat, India

Tóm tắt

We explore different branches of the fermion doublers with Wilson fermion in perturbation theory, in the context of additive mass renormalization and chiral anomaly, and show that by appropriately averaging over suitably chosen branches one can reduce cut-off artifacts. Comparing the central branch with all other branches, we find that the central branch, among all the avatars of the Wilson fermion, is the most suitable candidate for exploring near conformal lattice field theories.

Từ khóa


Tài liệu tham khảo

K.G. Wilson, Confinement of quarks, Phys. Rev. D 10 (1974) 2445 [INSPIRE].

K.G. Wilson, Quarks and strings on a lattice, in New phenomena in subnuclear physics, Proceedings of the International School of Subnuclear Physics, Erice Italy (1975), A. Zichichi ed., Plenum, New York U.S.A. (1977) [INSPIRE].

H.B. Nielsen and M. Ninomiya, No go theorem for regularizing chiral fermions, Phys. Lett. B 105 (1981) 219 [INSPIRE].

H.B. Nielsen and M. Ninomiya, Absence of neutrinos on a lattice. 1. Proof by homotopy theory, Nucl. Phys. B 185 (1981) 20 [Erratum ibid. B 195 (1982) 541] [INSPIRE].

H.B. Nielsen and M. Ninomiya, Absence of neutrinos on a lattice. 2. Intuitive topological proof, Nucl. Phys. B 193 (1981) 173 [INSPIRE].

L.H. Karsten and J. Smit, Lattice fermions: species doubling, chiral invariance and the triangle anomaly, Nucl. Phys. B 183 (1981) 103 [INSPIRE].

W. Kerler, Axial vector anomaly in lattice gauge theory, Phys. Rev. D 23 (1981) 2384 [INSPIRE].

H.J. Rothe and N. Sadooghi, A new look at the axial anomaly in lattice QED with Wilson fermions, Phys. Rev. D 58 (1998) 074502 [hep-lat/9803026] [INSPIRE].

M. Creutz, T. Kimura and T. Misumi, Aoki phases in the lattice Gross-Neveu model with flavored mass terms, Phys. Rev. D 83 (2011) 094506 [arXiv:1101.4239] [INSPIRE].

T. Kimura et al., Revisiting symmetries of lattice fermions via spin-flavor representation, JHEP 01 (2012) 048 [arXiv:1111.0402] [INSPIRE].

T. Misumi, New fermion discretizations and their applications, PoS(Lattice 2012)005 [arXiv:1211.6999] [INSPIRE].

Y. Iwasaki, Conformal window and correlation functions in lattice conformal QCD, arXiv:1212.4343 [INSPIRE].

J. Giedt, Lattice gauge theory and physics beyond the standard model PoS(Lattice 2012)006 [INSPIRE].

E.T. Neil, Exploring models for new physics on the lattice, PoS(Lattice 2011)009 [arXiv:1205.4706] [INSPIRE].

L. Del Debbio, The conformal window on the lattice, PoS(Lattice 2010)004 [INSPIRE].

H.S. Sharatchandra, The continuum limit of lattice gauge theories in the context of renormalized perturbation theory, Phys. Rev. D 18 (1978) 2042 [INSPIRE].

S. Capitani, Lattice perturbation theory, Phys. Rept. 382 (2003) 113 [hep-lat/0211036] [INSPIRE].

A.K. De, A. Harindranath and S. Mondal, Chiral anomaly in lattice QCD with twisted mass Wilson fermion, Phys. Lett. B 682 (2009) 150 [arXiv:0910.5611] [INSPIRE].

A.K. De, A. Harindranath and S. Mondal, Effect of r averaging on chiral anomaly in lattice QCD with Wilson fermion: finite volume and cutoff effects, JHEP 07 (2011) 117 [arXiv:1105.0762] [INSPIRE].