Gauge actions

A collection of links to lattice perturbation theory results for various gauge actions.

Wilson

• M. Glatzmaier and K.-F. Liu, Perturbative Renormalization and mixing of quark and glue energy-momentum tensors on the lattice, (2014) [arXiv:1403.7211]
• M. Lüscher and P. Weisz, Background field technique and renormalization in lattice gauge theory, Nucl. Phys. B 452 (1995) 213
• A. Hasenfratz, Analytic results: selected non-stochastic developments on the lattice, Nucl. Phys. B (Proc. Suppl.) 34 (1994) 3
• S. Caracciolo, P. Menotti and A. Pelissetto, One-loop analytic computation of the energy-momentum tensor for lattice gauge theories, Nucl. Phys. B 375 (1992) 195
• S. Caracciolo, P. Menotti, and A. Pelissetto, Analytic determination at one loop of the energy-momentum tensor for lattice QCD, Phys. Lett. B 260 (1991) 401
• S. Caracciolo et al., The restoration of Poincaré invariance and the energy momentum tensor in lattice gauge theories, Nucl. Phys. B (Proc. Suppl.) 17 (1990) 611
• S. Caracciolo et al., The energy-momentum tensor for lattice gauge theories, Annals of Phys. 197 (1990) 119
• S. Caracciolo et al., The energy-momentum tensor on the lattice, Nucl. Phys. B (Proc. Suppl.) 9 (1989) 604
• U. Heller and F. Karsch, One-loop perturbative calculation of Wilson loops on finite lattices, Nucl. Phys. B 251 (1985) 254
• G. Curci, G. Paffuti, and R. Tripiccione, Perturbative background to Monte Carlo calculations in lattice gauge theories, Nucl. Phys. B 240 [FS12] (1984) 91
• R.K. Ellis and G. Martinelli, Perturbative corrections to renormalization group behaviour in lattice QCD, Phys. Lett. B 141 (1984) 111
• R.K. Ellis and G. Martinelli, Two-loop corrections to the Λ parameters of one-plaquette actions, Nucl. Phys. B 235 (1984) 93; Erratum-ibid 249 (1985) 750
• G. Curci and R. Petronzio, On the perturbative contributions to the string tension estimates, Phys. Lett. B 132 (1983) 133
• A. Gonzalez-Arroyo and C.P. Korthales Altes, Asymptotic freedom for any single plaquette action, Nucl. Phys. B 205 [FS5] (1982) 46
• A. Hasenfratz and P. Hasenfratz, The scales of Euclidean and Hamiltonian lattice QCD, Nucl. Phys. B 193 (1981) 210
• H. Kawai, R. Nakayama and K. Seo, Comparison of the lattice Λ parameter with the continuum Λ parameter in massless QCD, Nucl. Phys. B 189 (1981) 40
• A. Billoire, Another connection between the Λ parameters of the euclidean lattice and continuum QCD, Phys. Lett. B 104 (1981) 472
• A. Di Giacomo and G.C. Rossi, Extracting <(α/π) Σa,μνGμνaGμνa)> from gauge theories on a lattice, Phys. Lett. B 100 (1981) 481
• R. Dashen and D. Gross, Relationship between lattice and continuum definitions of the gauge-theory coupling, Phys. Rev. D 23 (1981) 2340
• A. Hasenfratz and P. Hasenfratz, The connection between the Λ Parameters of lattice and continuum QCD, Phys. Lett. B 93 (1980) 165
• G. Parisi, On the relation between the renormalized and the bare coupling constant on the lattice, Phys. Lett. B 92 (1980) 133
• B.E. Baaquie, Gauge fixing and mass renormalization in the lattice gauge theory, Phys. Rev. D 16 (1977) 2612

Multi-loop calculations

• Y. Meurice, QCD at complex coupling, large order in perturbation theory and the gluon condensate, (2008) [arXiv:0808.2458]
• H. Panagopoulos, A. Skouroupathis and A. Tsapalis, Free energy and plaquette expectation value for gluons on the lattice, in three dimensions Phys. Rev. D 73 (2006) 054511 [arXiv:hep-lat/0601009]
• B. Feuerbacher, Perturbative check of the energy lattice sum rule, Nucl. Phys. B 674 (2003) 484 [arXiv:hep-lat/0309016]
• B. Allés, A. Feo and H. Panagopoulos, The three-loop beta function in SU(N) lattice gauge theories, Nucl. Phys. B 491 (1997) 498 [arXiv:hep-lat/9609025]
• B. Allés et al., The 3-loop beta function of QCD, Nucl. Phys. B (Proc. Suppl.) 53 (1997) 791 [arXiv:hep-lat/9608118]
• M. Lüscher and P. Weisz, Computation of the relation between the bare lattice coupling and the MS-bar coupling in SU(N) gauge theories to two loops, Nucl. Phys. B 452 (1995) 234
• M. Lüscher and P. Weisz, Two-loop relation between the bare lattice coupling and the MS-bar coupling in pure SU(N) gauge theories, Phys. Lett. B 349 (1995) 165
• B. Allés et al., The three-loop lattice free energy, Phys. Lett. B 324 (1994) 433 [arXiv:hep-lat/9306001]
• B. Allés et al., Lattice perturbation theory by computer algebra: a three-loop result for the topological susceptibility, Nucl. Phys. B 413 (1994) 553 [arXiv:hep-lat/9301012]
• B. Allés et al., Three-loop results on the lattice, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 243 [arXiv:hep-lat/9211015]
• P. van Baal, Gauge theories in finite volumes revisited, Nucl. Phys. B 351 (1991) 183
• R. Wohlert, P. Weisz and W. Wetzel, Weak coupling perturbative calculations of the Wilson loop for the standard action, Nucl. Phys. B 259 (1985) 85
• T. Hattori and H. Kawai Weak coupling perturbative calculations of the Wilson loop in lattice gauge theory, Phys. Lett. B 105 (1981) 43

Improved gauge actions

• Zh. Hao et al., Unquenching effects on the coefficients of the Lüscher-Weisz action, PoS(LATTICE 2007) 258 [arXiv:0708.2404]
• Zh. Hao et al., Unquenching effects on the coefficients of the Lüscher-Weisz action, Phys. Rev. D 76 (2007) 034507 [arXiv:0705.4660]
• I.T. Drummond et al., One loop calculation of the renormalized anisotropy for improved anisotropic gluon actions on a lattice, Phys. Rev. D 66 (2002) 094509 [arXiv:hep-lat/0208010]
  and
  I.T. Drummond et al., The contribution of O(alpha) radiative corrections to the renormalised anisotropy and application to general tadpole improvement schemes: addendum to "One loop calculation of the renormalized anisotropy for improved anisotropic gluon actions on a lattice", Phys. Rev. D 68 (2003) 057501 [arXiv:hep-lat/0307010]
• M. García Peréz and P. van Baal, One-loop anisotropy for improved actions, Phys. Lett. B 392 (1997) 163
• M. Lüscher and P. Weisz, Computation of the action for on-shell improved lattice gauge theories at weak coupling, Nucl. Phys. B 158 (1985) 250
• M. Lüscher and P. Weisz, On-shell improved lattice gauge theories, Commun. Math. Phys. 98 (1985) 433
• M. Lüscher and P. Weisz, On-shell improved lattice gauge theories, Commun. Math. Phys. 97 (1985) 59
• P. Weisz and R. Wohlert, Continuum limit improved lattice action for pure Yang-Mills Theory (II), Nucl. Phys. B 236 (1984) 397
• P. Weisz, Continuum limit improved lattice action for pure Yang-Mills Theory (I), Nucl. Phys. B 212 (1983) 1
• F. Karsch, SU(N) gauge theory couplings on asymmetric lattices, Nucl. Phys. B 205 (1982) 285

Multi-loop calculations

• A.G. Hart, R.R. Horgan and L.C. Storoni, Perturbation theory vs. simulation for tadpole improvement factors in pure gauge theories, Phys. Rev. D 70 (2004) 034501 [arXiv:hep-lat/0402033]
• I.T. Drummond et al., Lattice perturbation theory for gluonic and fermionic actions Nucl. Phys. B (Proc. Suppl.) 119 (2003) 470 [arXiv:hep-lat/0209130]

The Schrödinger functional scheme

• S. Takeda, S. Aoki and K. Ide, A perturbative determination of O($a$) boundary improvement coefficients for the Schrödinger functional coupling at 1-loop with improved gauge actions, (2003) [arXiv:hep-lat/0309160]
• S. Takeda, S. Aoki and K. Ide, A perturbative determination of O(a) boundary improvement coefficients for the Schrödinger functional coupling at 1-loop with improved gauge actions, Phys.Rev. D 68 (2003) 014505 [arXiv:hep-lat/0304013]
• M. Lüscher et al., A precise determination of the running coupling in the SU(3) Yang-Mills theory, Nucl. Phys. B 413 (1994) 481
• M. Lüscher et al., The Schrödinger functional - a renormalizable probe for non-Abelian gauge theories, Nucl. Phys. B 384 (1992) 168 [arXiv:hep-lat/9207009]

Multi-loop calculations

• A. Bode, U. Wolff and P. Weisz, Two-loop computation of the Schrödinger functional in pure SU(3) lattice gauge theory, Nucl. Phys. B 540 (1999) 491