Ginsparg-Wilson actions

A collection of links to lattice perturbation theory results for various fermion actions with some form of Ginsparg-Wilson chiral symmetry.

Overlap fermions

2005s

• S. Takeda, Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional, Nucl. Phys. B (2008) 796 402 [arXiv:0712.1469]
• X. Li et al., Massive overlap fermions on anisotropic lattices, JHEP (2007) 0701 055 [hep-lat/0611016]
• M. Göckeler et al., One-loop renormalisation of lattice QCD operators for non-forward matrix elements: from clover to overlap fermions, PoS LAT2006 (2006) 161 [arXiv:hep-lat/0610060]
• M. Constantinou, H. Panagopoulos and A. Skouroupathis, Improving perturbation theory with cactus diagrams PoS(LATTICE 2006) 155 [arXiv:hep-lat/0612003]
• M. Constantinou, H. Panagopoulos and A. Skouroupathis, Improved perturbation theory for improved lattice actions, Phys. Rev. D 74 (2006) 074503 [arXiv:hep-lat/0606001]
• M. Ioannou and H. Panagopoulos, Perturbative renormalization in parton distribution functions using improved actions, PoS(LATTICE 2006) 229 [arXiv:hep-lat/0512039]
• R. Horsley et al., Perturbative renormalisation of quark bilinear operators for overlap fermions with and without stout links and improved gauge action PoS(LATTICE 2005) 238 [arXiv:hep-lat/0509072]
• R. Horsley et al., Renormalisation of one-link quark operators for overlap fermions with Lüscher-Weisz gauge action Phys. Lett. B 628 (2005) 66 [arXiv:hep-lat/0505015]
• M. Ioannou and H. Panagopoulos, Perturbative renormalization in parton distribution functions using overlap fermions and Symanzik improved gluons, Phys. Rev. D 73 (2006) 054507 [arXiv:hep-lat/0601020]
• A. Skouroupathis and H. Panagopoulos, Additive and multiplicative renormalization of topological charge with improved gluon and fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions, Phys. Rev. D 72 (2005) 094509 [arXiv:hep-lat/0509012]
• R. Horsley et al., One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions Nucl. Phys. B 693 (2004) 3; Erratum-ibid, B 713 (2005) 601 [arXiv:hep-lat/0404007]

2000s

• T. DeGrand, One loop matching coefficients for a variant overlap action and some of its simpler relatives, Phys. Rev. D 67 (2003) 014507 [arXiv:hep-lat/0210028]
• S. Capitani, Perturbative and non-perturbative lattice calculations for the study of parton distributions, Nucl. Phys. B (Proc. Suppl.) 116 (2003) 115 [arXiv:hep-ph/0210076]
• S. Capitani, Perturbative renormalization for overlap fermions, Nucl. Phys. B (Proc. Suppl.) 106 (2002) 826 [arXiv:hep-lat/0108028]
• S. Capitani and L. Giusti, Analysis of the Delta I=1/2 rule and e'/e with overlap fermions, Phys. Rev. D 64 (2001) 014506 [arXiv:hep-lat/0011070]
• S. Capitani, Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions, Nucl. Phys. B 597 (2001) 313 [arXiv:hep-lat/0009018]
• S. Capitani, Perturbative renormalization of the first two moments of non-singlet quark distributions with overlap fermions, Nucl. Phys. B 592 (2000) 183 [arXiv:hep-lat/0005008]
• S. Capitani and L. Giusti, Perturbative renormalization of weak-Hamiltonian four-fermion operators with overlap fermions, Phys. Rev. D 62 (2000) 114506 [arXiv:hep-lat/0007011]
• C. Alexandrou et al., Lattice QCD with the overlap-Dirac operator: Its $Λ$ parameter, and one-loop renormalization of fermionic currents, Nucl. Phys. B 580 (2000) 394 [arXiv:hep-lat/0009004]
• S. Capitani et al., On-shell and off-shell improvement for Ginsparg-Wilson fermions, Nucl. Phys. B (Proc. Suppl.) 83 (2000) 893 [arXiv:hep-lat/9909167]
• C. Alexandrou et al., One-loop renormalization of fermionic currents with the overlap-Dirac operator Nucl. Phys. B 580 (2000) 394 [arXiv:hep-lat/0002010]
• M. Ishibashi, et al., One-loop analyses of lattice QCD with the overlap Dirac operator, Nucl. Phys. B 576 (2000) 501[arXiv:hep-lat/9911037]
• C. Alexandrou, H. Panagopoulos and E. Vicari Lambda-parameter of lattice QCD with the overlap-Dirac operator Nucl. Phys. B 571 (2000) 257 [arXiv:hep-lat/9909158]

1990s

• Y. Kikukawa and A. Yamada, Weak coupling expansion of massless QCD with a Ginsparg-Wilson fermion and axial U(1) anomaly, Phys. Lett. B 448 (1999) 265 [arXiv:hep-lat/9806013]
• A. Yamada, Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions, Nucl. Phys. B 529 (1998) 483 [arXiv:hep-lat/9802013]

Multi-loop calculations

• M. Constantinou and H. Panagopoulos, Gauge theories with overlap fermions in an arbitrary representation: evaluation of the 3-loop beta-function Phys. Rev. D 77 (2008) 057503 [arXiv:0711.4665]
• A. Athenodorou and H. Panagopoulos, Large Wilson loops with overlap and clover fermions: Two-loop evaluation of the b-quark mass shift and the quark-antiquark potential, Nucl. Phys. B 799 (2008) 1 [arXiv:hep-lat/0509039]
• M. Constantinou and H. Panagopoulos, The three-loop beta-function of SU(N) lattice gauge theories with overlap fermions PoS LAT2007 (2007) 247 [arXiv:0711.1826]
• M. Constantinou and H. Panagopoulos, QCD with overlap fermions: running coupling and the 3-loop beta-function Phys. Rev. D 76 (2007) 114504 [arXiv:0709.4368]
• A. Athenodorou and H. Panagopoulos, Two-loop evaluation of large Wilson loops with overlap fermions: the b-quark mass shift, and the quark-antiquark potential PoS LAT2005 228 [arXiv:hep-lat/0509044]
• A. Skouroupathis and H. Panagopoulos, Topological charge renormalization: A test case for 3-loop vacuum calculations using overlap fermions and Symanzik improved gluons PoS LAT2005 230 [arXiv:hep-lat/0509015]
• A. Skouroupathis and H. Panagopoulos, Additive and multiplicative renormalization of topological charge with improved gluon/fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions Phys. Rev. D 72 (2005) 094509, [arXiv:hep-lat/0509012]
• A. Athenodorou, H. Panagopoulos and A. Tsapalis, Higher loop results for the plaquette, using the clover and overlap actions, Nucl. Phys. B (Proc. Suppl.) 140 (2005) 794 [arXiv:hep-lat/0409127]
• A. Athenodorou and H. Panagopoulos, The lattice free energy with overlap fermions: A two-loop result, Phys. Rev. D 70 (2004) 077507 [arXiv:hep-lat/0408020]

Domain-wall fermions

2010s

• T. Ishikawa et al., One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement, JHEP 1105 (2011) 040 [arXiv:1101.1072]

2000s

• S. Capitani, Perturbative chiral violations for domain-wall QCD with improved gauge actions , Nucl. Phys. B 801 (2008) 220 [arXiv:hep-lat/0609026]
• O. Loktik and T. Izubuchi, Perturbative renormalization for static and domain-wall bilinears and four-fermion operators with improved gauge actions, Phys. Rev. D 75 (2007) 034504 [arXiv:hep-lat/0612022]
• S. Capitani, Chiral violations from one-loop domain wall fermions, PoS LAT2007 (2007) 153 [arXiv:0708.3281]
• S. Capitani, Chiral violations in domain-wall QCD from one-loop perturbation theory at finite N_s , Phys. Rev. D 75 (2007) 054505 [arXiv:hep-lat/0606022]
• Y. Nakamura and Y. Kuramashi, Perturbative renormalization factors for generic $Δs=2$ four-quark operators in domain-wall QCD with improved gauge action, Phys. Rev. D 73 094502 [arXiv:hep-lat/0603012]
• S. Capitani, Perturbative renormalization of the first moment of structure functions for domain-wall QCD, Phys. Rev. D 73 (2006) 014505 [arXiv:hep-lat/0510091]
• S. Aoki and Y. Kuramashi, The lattice $Λ$ parameter in domain wall QCD, Phys.Rev. D 68 (2003) 034507 [arXiv:hep-lat/0306008]
• S. Aoki et al., Perturbative renormalization factors in domain-wall QCD with improved gauge actions, Phys. Rev. D 67 (2003) 094502 [arXiv:hep-lat/0206013]
• S. Aoki and Y. Kuramashi,Perturbative renormalization factors of $ΔS = 1$ four-quark operators for domain-wall QCD, Phys. Rev. D 63 (2001) 054504 [arXiv:hep-lat/0007024]
• S. Aoki et al., Perturbative renormalization factors of quark operators for domain-wall QCD, Nucl. Phys. B (Proc. Suppl.) 83 (2000) 648 [arXiv:hep-lat/9909048]
• J. Noaki and Y. Taniguchi, Scaling property of domain-wall QCD in perturbation theory, Phys. Rev. D 61 (2000) 054505 [arXiv:hep-lat/9906030]

1990s

• S. Aoki et al., Perturbative renormalization factors of three- and four-quark operators for domain-wall QCD, Phys. Rev. D 60 (1999) 114504 [arXiv:hep-lat/9902008]
• S. Aoki and Y. Taniguchi, One loop renormalization for the axial Ward-Takahashi identity in domain-wall QCD, Phys. Rev. D 59 (1999) 094506 [arXiv:hep-lat/9811007]
• S. Aoki et al., Perturbative renormalization factors of quark bilinear operators for domain-wall QCD, Phys. Rev. D 59 (1999) 0944505 [arXiv:hep-lat/9810020]
• S. Aoki and Y. Taniguchi, One loop calculation in lattice QCD with domain-wall quarks, Phys. Rev. D 59 (1999) 054510 [arXiv:hep-lat/9711004]
• S. Aoki and Y. Taniguchi, One loop calculation of QCD with domain-wall quarks, Nucl. Phys. B (Proc. Suppl.) 63 (1998) 290 [arXiv:hep-lat/9709123]
• S. Aoki and H. Hirose, Perturbative study for domain-wall fermions in 4+1 dimensions, Phys. Rev. D 54 (1996) 3471 [arXiv:hep-lat/9603025]

Minimally-doubled fermions

• S. Capitani et al., Renormalization of minimally doubled fermions, (2010) [arXiv:1006.2009]
• S. Capitani, J. Weber and H. Wittig, Minimally doubled fermions at one-loop level, PoS LAT2009 (2009) [arXiv:0910.2597]
• S. Capitani, J. Weber and H. Wittig, Minimally doubled fermions at one loop, (2009) [arXiv:0907.2825]