Standard model and the lattice

Creutz, Michael

doi:10.1103/physrevd.109.034514

Title: Standard model and the lattice

Journal Article · 20 February 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.109.034514 · OSTI ID:2309827

^[1]

Brookhaven National Laboratory (BNL), Upton, NY (United States)

The SU⁡(3) Ⓧ SU⁡(2) Ⓧ U⁡(1) standard model maps smoothly onto a conventional lattice gauge formulation, including the parity violation of the weak interactions. The formulation makes use of the pseudoreality of the weak group and requires the inclusion a full generation of both leptons and quarks. As in continuum discussions, chiral eigenstates of the Dirac operator generate known anomalies, although with rough gauge configurations these are no longer exact zero modes of the Dirac operator.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE

Grant/Contract Number:: SC0012704; AC02-98CH10886

OSTI ID:: 2309827

Alternate ID(s):: OSTI ID: 2396623

Report Number(s):: BNL-225796-2024-JAAM; TRN: US2500845

Journal Information:: Physical Review. D., Vol. 109, Issue 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (42)

Broken Symmetry and the Mass of Gauge Vector Mesons Englert, F.; Brout, R. Physical Review Letters, Vol. 13, Issue 9 https://doi.org/10.1103/PhysRevLett.13.321	journal	August 1964
Global Conservation Laws and Massless Particles Guralnik, G. S.; Hagen, C. R.; Kibble, T. W. B. Physical Review Letters, Vol. 13, Issue 20 https://doi.org/10.1103/PhysRevLett.13.585	journal	November 1964
Quark mass dependence of two-flavor QCD Creutz, Michael Physical Review D, Vol. 83, Issue 1 https://doi.org/10.1103/PhysRevD.83.016005	journal	January 2011
Gauge field theories on a lattice Osterwalder, K.; Seiler, E. Annals of Physics, Vol. 110, Issue 2 https://doi.org/10.1016/0003-4916(78)90039-8	journal	February 1978
Lattice QCD with a chirally twisted mass term Collaboration, Alpha; Frezzotti, Roberto; Grassi, Pietro Antonio Journal of High Energy Physics, Vol. 2001, Issue 08 https://doi.org/10.1088/1126-6708/2001/08/058	journal	August 2001
Positivity and topology in lattice gauge theory Creutz, Michael Physical Review D, Vol. 70, Issue 9 https://doi.org/10.1103/PhysRevD.70.091501	journal	November 2004
Lattice regularization of chiral gauge theories to all orders of perturbation theory Lüscher, Martin Journal of High Energy Physics, Vol. 2000, Issue 06 https://doi.org/10.1088/1126-6708/2000/06/028	journal	June 2000
Transiting topological sectors with the overlap Creutz, Michael Nuclear Physics B - Proceedings Supplements, Vol. 119 https://doi.org/10.1016/S0920-5632(03)80476-0	journal	May 2003
Topology of lattice gauge fields Lüscher, M. Communications in Mathematical Physics, Vol. 85, Issue 1 https://doi.org/10.1007/BF02029132	journal	August 1982
Infinitely many regulator fields for chiral fermions Narayanan, Rajamani; Neuberger, Herbert Physics Letters B, Vol. 302, Issue 1 https://doi.org/10.1016/0370-2693(93)90636-V	journal	March 1993
Ginsparg-Wilson Relation and Ultralocality Horváth, Ivan Physical Review Letters, Vol. 81, Issue 19 https://doi.org/10.1103/PhysRevLett.81.4063	journal	November 1998
Surface modes and chiral symmetry (Wilson Fermions in a box) Creutz, Michael; Horvath, Ivan Nuclear Physics B - Proceedings Supplements, Vol. 34 https://doi.org/10.1016/0920-5632(94)90452-9	journal	April 1994
Quarks, Gluons and Lattices Creutz, Michael https://doi.org/10.1017/9781009290395	journal	November 2022
On the Invariant Regularization in Relativistic Quantum Theory Pauli, W.; Villars, F. Reviews of Modern Physics, Vol. 21, Issue 3 https://doi.org/10.1103/RevModPhys.21.434	journal	July 1949
Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence Equation Adler, Stephen L.; Bardeen, William A. Physical Review, Vol. 182, Issue 5 https://doi.org/10.1103/PhysRev.182.1517	journal	June 1969
The phase structure of SU(2) × U(1) lattice gauge theory Shrock, Robert E. Physics Letters B, Vol. 162, Issue 1-3 https://doi.org/10.1016/0370-2693(85)91080-9	journal	November 1985
Confinement of quarks Wilson, Kenneth G. Physical Review D, Vol. 10, Issue 8 https://doi.org/10.1103/PhysRevD.10.2445	journal	October 1974
A new fermion Hamiltonian for lattice gauge theory Creutz, Michael; Horváth, Ivan; Neuberger, Herbert Nuclear Physics B - Proceedings Supplements, Vol. 106-107 https://doi.org/10.1016/S0920-5632(01)01836-9	journal	March 2002
Phase diagrams of lattice gauge theories with Higgs fields Fradkin, Eduardo; Shenker, Stephen H. Physical Review D, Vol. 19, Issue 12 https://doi.org/10.1103/PhysRevD.19.3682	journal	June 1979
The top quark and Higgs boson masses and the stability of the electroweak vacuum Alekhin, S.; Djouadi, A.; Moch, S. Physics Letters B, Vol. 716, Issue 1 https://doi.org/10.1016/j.physletb.2012.08.024	journal	September 2012
Chiral determinant as an overlap of two vacua Narayanan, Rajamani; Neuberger, Herbert Nuclear Physics B, Vol. 412, Issue 3 https://doi.org/10.1016/0550-3213(94)90393-X	journal	January 1994
Asymptotic safety of gravity and the Higgs boson mass Shaposhnikov, Mikhail; Wetterich, Christof Physics Letters B, Vol. 683, Issue 2-3 https://doi.org/10.1016/j.physletb.2009.12.022	journal	January 2010
Is the doubler of the electron an antiquark? Creutz, Michael Nuclear Physics B - Proceedings Supplements, Vol. 63, Issue 1-3 https://doi.org/10.1016/S0920-5632(97)00844-X	journal	April 1998
An SU(2) anomaly Witten, Edward Physics Letters B, Vol. 117, Issue 5 https://doi.org/10.1016/0370-2693(82)90728-6	journal	November 1982
Anomalies, gauge field topology, and the lattice Creutz, Michael Annals of Physics, Vol. 326, Issue 4 https://doi.org/10.1016/j.aop.2010.10.011	journal	April 2011
Current algebra theorems for the U(1) “Goldstone boson” Witten, E. Nuclear Physics B, Vol. 156, Issue 2 https://doi.org/10.1016/0550-3213(79)90031-2	journal	September 1979
Exactly massless quarks on the lattice Neuberger, Herbert Physics Letters B, Vol. 417, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)01368-3	journal	January 1998
Computation of the quantum effects due to a four-dimensional pseudoparticle 't Hooft, G. Physical Review D, Vol. 14, Issue 12 https://doi.org/10.1103/PhysRevD.14.3432	journal	December 1976
The electroweak theory on the lattice Swift, P. V. D. Physics Letters B, Vol. 145, Issue 3-4 https://doi.org/10.1016/0370-2693(84)90350-2	journal	September 1984
A PCAC puzzle: π0→γγ in the σ-model Bell, J. S.; Jackiw, R. Il Nuovo Cimento A, Vol. 60, Issue 1 https://doi.org/10.1007/BF02823296	journal	March 1969
Confinement criterion for gauge theories with matter fields Greensite, Jeff; Matsuyama, Kazue Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.094510	journal	November 2017
Chiral Lattice Gauge Theories via Mirror–Fermion Decoupling: a Mission (Im)Possible? Poppitz, Erich; Shang, Yanwen International Journal of Modern Physics A, Vol. 25, Issue 14 https://doi.org/10.1142/S0217751X10049852	journal	June 2010
Weak and electromagnetic interactions Salam, Abdus Selected Papers of Abdus Salam https://doi.org/10.1142/9789812795915_0034	book	May 1994
The Index of Elliptic Operators: V Atiyah, M. F.; Singer, I. M. The Annals of Mathematics, Vol. 93, Issue 1 https://doi.org/10.2307/1970757	journal	January 1971
Realizations of chiral symmetry in a spontaneously broken lattice gauge theory Lee, I-Hsiu; Shigemitsu, Junko Physics Letters B, Vol. 178, Issue 1 https://doi.org/10.1016/0370-2693(86)90476-4	journal	September 1986
Ginsparg-Wilson-Lüscher symmetry and ultralocality Horváth, Ivan Physical Review D, Vol. 60, Issue 3 https://doi.org/10.1103/PhysRevD.60.034510	journal	July 1999
The index of elliptic operators on compact manifolds Atiyah, M. F.; Singer, I. M. Bulletin of the American Mathematical Society, Vol. 69, Issue 3 https://doi.org/10.1090/S0002-9904-1963-10957-X	journal	May 1963
Path-Integral Measure for Gauge-Invariant Fermion Theories Fujikawa, Kazuo Physical Review Letters, Vol. 42, Issue 18 https://doi.org/10.1103/PhysRevLett.42.1195	journal	April 1979
From Quarks to Pions: Chiral Symmetry and Confinement Creutz, Michael https://doi.org/10.1142/10688	journal	August 2018
Broken Symmetries and the Masses of Gauge Bosons Higgs, Peter W. Physical Review Letters, Vol. 13, Issue 16 https://doi.org/10.1103/PhysRevLett.13.508	journal	October 1964
Lattice formulation of the standard model Creutz, Michael; Tytgat, Michel; Rebbi, Claudio Physics Letters B, Vol. 402, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00463-2	journal	June 1997
A Model of Leptons Weinberg, Steven Physical Review Letters, Vol. 19, Issue 21 https://doi.org/10.1103/PhysRevLett.19.1264	journal	November 1967

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
electroweak symmetry breaking
lattice field theory
quantum chromodynamics

Title: Standard model and the lattice

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