refs_bsm

Applications beyond QCD

A collection of links to lattice perturbation theory results for various applications beyond lattice QCD. These include: beyond the Standard Model physics applications; lattice gauge theories with gauge groups other than SU(3) or in fewer than four spacetime dimensions; and some more formal applications of perturbation theory to lattice theories.

Supersymmetry

A. Feo, Two-loops Wess-Zumino model with exact supersymmetry on the lattice, (2013) [arXiv:1305.6473]
S. Musberg, G. Münster, and S. Piemonte, Perturbative calculation of the clover term for adjoint Wilson fermions, (2013) [arXiv:1304.5741]
S. Catterall et al., Perturbative renormalization of lattice N=4 super Yang-Mills theory, JHEP 1104 (2011) 074 [arXiv:1102.1725]
T. Onogi and T. Takimi, Perturbative study of the supersymmetric lattice theory from matrix model, PoS(LATTICE 2005) 271 [arXiv:hep-lat/0510037]
T. Onogi and T. Takimi, Perturbative study of the supersymmetric lattice theory from matrix model, Phys. Rev. D 72 (2005) 074504 [arXiv:hep-lat/0506014]
M. Bonini and A. Feo, Exact lattice Ward-Takahashi identity for the N=1 Wess-Zumino model, Phys. Rev. D 71 (2005) 114512
A. Feo, Supersymmetric Ward-Takahashi identity in 1-Loop lattice perturbation theory. I. general procedure, Phys. Rev. D 70 (2004) 054504 [arXiv:hep-lat/0305020]
and
T. Galla, G. Münster, and A. Vladikas, Comment on: ``The supersymmetric Ward-Takahashi identity in 1-Loop lattice perturbation theory. I. general procedure'' by A. Feo; hep-lat/0305020, (2003) [arXiv:hep-lat/0307014]
F. Farchioni et al., SUSY Ward identities in 1-loop perturbation theory, Nucl. Phys. B (Proc. Suppl.) 106 (2002) 941 [arXiv:hep-lat/0110113]
F. Farchioni et al., On the 1-loop lattice perturbation theory of the supersymmetric Ward identities, Nucl. Phys. B (Proc. Suppl.) 94 (2001) 791 [arXiv:hep-lat/0011030]
Y. Taniguchi, One loop calculation of SUSY Ward-Takahashi identity on lattice with Wilson fermion, Phys. Rev. D 63 (2000) 014502 [arXiv:hep-lat/9906026]
I. Montvay, Tuning to N = 2 supersymmetry in the SU(2) adjoint Higgs-Yukawa model, Nucl. Phys. B 445 (1995) 399

Non-zero temperature QCD

O. Philipsen and L. Zeidlewicz, Cutoff effects of Wilson fermions on the QCD equation of state to O(g2), Phys. Rev. D 81 (2010) 077501 [arXiv:0812.1177]
U.M. Heller, F. Karsch, and B. Sturm, Improved staggered fermion actions for QCD thermodynamics, Phys. Rev. D 60 (1999) 114502 [arXiv:hep-lat/9901010]
P.N. Meisinger and M.C. Ogilvie, Effective action for finite temperature lattice gauge theories with dynamical fermions, Phys. Rev. D 52 (1995) 3024
P.N. Meisinger and M.C. Ogilvie, An effective action for finite temperature QCD with fermions, Nucl. Phys. B (Proc. Suppl.) 42 (1995) 532 [arXiv:hep-lat/9412071]
G. Boyd, The quark correlator at finite temperature, Nucl. Phys. B (Proc. Suppl.) 30 (1993) 335
B. Petersson and T. Reisz, Polyakov loop correlations at finite temperature, Nucl. Phys. B 353 (1991) 757

All sorts of other models

2010s

F. Niedermayer and P. Weisz, Massless sunset diagrams in finite asymmetric volumes, (2016) [arXiv:1602.03159]
R. Lohmayer and R. Narayanan, Weak-coupling analysis of the single-site large-N gauge theory coupled to adjoint fermions, (2013) [arXiv:1305.1279]
A. Hietanen and R. Narayanan, The large N limit of four dimensional Yang-Mills field coupled to adjoint fermions on a single site lattice, JHEP 1001 (2010) 079 [arXiv:0911.2449]

2000s

K. Harada et al., Apparently non-invariant terms of nonlinear sigma models in lattice perturbation theory, (2009) [arXiv:0902.0665]
L. Del Debbio et al., Higher representations on the lattice: perturbative studies, JHEP 0806 (2008) 007 [arXiv:0802.0891]
L. Li and Y. Meurice, An example of optimal field cut in lattice gauge perturbation theory, Phys. Rev. D 71 (2005) 054509 [arXiv:hep-lat/0501023]
P.M. Stevenson, Comparison of perturbative RG theory with lattice data for the 4d Ising model, Nucl. Phys. B 729 (2005) 542 [arXiv:hep-lat/0507038]
O.Borisenko, S.Voloshin and M.Faber, Plaquette representation for 3D lattice gauge models: I. Formulation and perturbation theory, (2005) [arXiv:hep-lat/0508003]
G. Burgio et al., Gauge theories on a 2+2 anisotropic lattice, Phys. Rev. D 67 (2003) 114502 [arXiv:hep-lat/0303005]
J. Nishimura, M.A. Vazquez-Mozo, Lattice perturbation theory in noncommutative geometry and parity anomaly in 3D noncommutative QED, JHEP 0301 (2003) 075 [arxiv:hep-lat/021001]
M. Lüscher, Lattice regularization of chiral gauge theories to all orders of perturbation theory, JHEP 0006 (2000) 028 [arXiv:hep-lat/0006014]
W. Bock et al., Phase diagram and spectrum of gauge-fixed Abelian lattice gauge theory, Phys.Rev. D 62 (2000) 034507

1990s

W. Bock, M. Golterman and Y. Shamir, Chiral fermions on the lattice through gauge fixing -- perturbation theory, Phys. Rev. D 58 (1998) 034501 [arXiv:hep-lat/9801018]
W. Bietenholz,Perfect actions for scalar theories, Nucl. Phys. B (Proc. Suppl.) 63 (1998) 901
G. Cella et al., Coulomb law in the pure gauge U(1) theory on a lattice, Phys. Rev. D 56 (1997) 3896
F. Niedermayer, M. Niedermaier, and P. Weisz, Questionable and unquestionable in the perturbation theory of non-Abelian models, Phys. Rev. D 56 (1997) 2555
R. Narayanan and U. Wolff, Two-loop computation of a running coupling in lattice Yang-Mills theory, Nucl. Phys. B 444 (1995) 425
U. Wolff, Two-loop computation of a finite volume running coupling on the lattice, Nucl. Phys. B (Proc. Suppl.) 42 (1995) 291
S. Aoki and R.B. Levien, Kaplan-Narayanan-Neuberger lattice fermions pass a perturbative test, Phys. Rev. D 51 (1994) 3790 [arXiv:hep-lat/9411137]
S. Aoki and H. Hirose, Perturbative analysis for Kaplan's lattice chiral fermions, Phys. Rev. D 49 (1994) 2604 [arXiv:hep-lat/9309014]
S. Caracciolo and A. Pelissetto, Lattice perturbation theory for O(N)-symmetric σ-models with general nearest-neighbour action (I). Conventional perturbation theory, Nucl. Phys. B 420 (1994) 141
K. Kajantiea, K. Rummukainena, and M. Shaposhnikova, A lattice Monte Carlo study of the hot electroweak phase transition, Nucl. Phys. B 407 (1993) 356
H. Kröger, R. Lafrance, and L. Marleau, QED vacuum polarization on a momentum lattice, Phys. Rev. D 46 (1992) 5540
D. Bérubé et al., Axial anomaly on a momentum lattice, Phys. Rev. D 45 (1992) 1332
D. Bérubé et al., Yang-Mills theory on a momentum lattice: Gauge invariance, chiral invariance, and no fermion doubling, Phys. Rev. D 43 (1991) 1385
L. Lin et al., A U(1)L ⊗ U(1)R symmetric Yukawa model in the phase with spontaneously broken symmetry, Nucl. Phys. B 355 (1991) 511
K. Farakos et al., U(1)L ⊗ U(1)R symmetric Yukawa model in the symmetric phase, Nucl. Phys. B 350 (1991) 474
S. Aoki, Perturbative analysis of anomalous chiral QED, Phys. Rev. D 42 (1990) 2806

1980s

S. Caracciolo et al., Renormalization of the energy-momentum tensor and the trace anomaly in lattice QED, Phys. Lett. B 228 (1989) 375
S. Caracciolo et al., The energy-momentum tensor on the lattice: The scalar case, Nucl. Phys. B 309 (1988) 612
I. Montvay, The sigma-model with Wilson lattice fermions, Nucl. Phys. B 307 (1988) 389
I. Montvay, A chiral SU(2)L⊗SU(2)R gauge model on the lattice, Phys. Lett. B 199 (1987) 89
G. Martinelli, G. Parisi, and R. Petronzio, Improving the lattice action near the continuum limit, Phys. Lett. B 114 (1982) 251
V.F. Müller and W. Rühl, Small coupling (low temperature) expansions of nonabelian Yang-Mills fields on a lattice in temporal gauge, Ann. Phys. 133 (1981) 240
J. Shigemitsu, J.B. Kogut, and D.K. Sinclair, Comparing O(N) and SU(N) x SU(N) spin systems in 1 + 1 dimensions to SU(N) gauge theories in 3 + 1 dimensions, Phys. Lett. B 100 (1981) 316

1970s

J. Kogut, An introduction to lattice gauge theory and spin systems, Rev. Mod. Phys. 51 (1979) 659
H.S. Sharatchandra, Continuum limit of lattice gauge theories in the context of renormalized perturbation theory, Phys. Rev. D 18 (1978) 2042
A. Carroll et al., Lattice gauge theory calculations in 1 + 1 dimensions and the approach to the continuum limit, Phys. Rev. D 13 (1976) 2270
T. Banks, L. Susskind, and J.B. Kogut, Strong-coupling calculations of lattice gauge theories: (1 + 1)-dimensional exercises, Phys. Rev. D 13 (1976) 1043