Extra-dimensional models on the lattice

Knechtli, Francesco; Rinaldi, Enrico

doi:10.1142/S0217751X16430028

Title: Extra-dimensional models on the lattice

Journal Article · Fri Aug 05 00:00:00 EDT 2016 · International Journal of Modern Physics A

DOI:https://doi.org/10.1142/S0217751X16430028· OSTI ID:1305851

Knechtli, Francesco ^[1]; Rinaldi, Enrico ^[2]

Bergische Univ. Wuppertal, Wuppertal (Germany). Dept. of Physics
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Div.

In this paper we summarize the ongoing effort to study extra-dimensional gauge theories with lattice simulations. In these models the Higgs field is identified with extra-dimensional components of the gauge field. The Higgs potential is generated by quantum corrections and is protected from divergences by the higher dimensional gauge symmetry. Dimensional reduction to four dimensions can occur through compactification or localization. Gauge-Higgs unification models are often studied using perturbation theory. Numerical lattice simulations are used to go beyond these perturbative expectations and to include nonperturbative effects. We describe the known perturbative predictions and their fate in the strongly-coupled regime for various extra-dimensional models.

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Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1305851

Report Number(s):: LLNL-JRNL-691819; TRN: US1700142

Journal Information:: International Journal of Modern Physics A, Vol. 31, Issue 22; ISSN 0217-751X

Publisher:: World ScientificCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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References (64)

Search for high mass dilepton resonances in pp collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>7</mml:mn><mml:mtext> TeV</mml:mtext></mml:math> with the ATLAS experiment Aad, G.; Abbott, B.; Abdallah, J. Physics Letters B, Vol. 700, Issue 3-4 https://doi.org/10.1016/j.physletb.2011.04.044	journal	June 2011
D-theory: field theory via dimensional reduction of discrete variables Beard, B. B.; Brower, R. C.; Chandrasekharan, S. Nuclear Physics B - Proceedings Supplements, Vol. 63, Issue 1-3 https://doi.org/10.1016/S0920-5632(97)00900-6	journal	April 1998
Large Mass Hierarchy from a Small Extra Dimension Randall, Lisa; Sundrum, Raman Physical Review Letters, Vol. 83, Issue 17 https://doi.org/10.1103/PhysRevLett.83.3370	journal	October 1999
Effective gauge theories on domain walls via bulk confinement? Laine, M.; Meyer, H. B.; Rummukainen, K. Journal of High Energy Physics, Vol. 2004, Issue 04 https://doi.org/10.1088/1126-6708/2004/04/027	journal	April 2004
Dynamical mass generation by compact extra dimensions Hosotani, Yutaka Physics Letters B, Vol. 126, Issue 5 https://doi.org/10.1016/0370-2693(83)90170-3	journal	July 1983
Quantentheorie und f�nfdimensionale Relativit�tstheorie Klein, Oskar Zeitschrift f�r Physik, Vol. 37, Issue 12 https://doi.org/10.1007/BF01397481	journal	December 1926
Polyakov loops and the Hosotani mechanism on the lattice Cossu, Guido; Noaki, Jun-Ichi; Hatanaka, Hisaki Physical Review D, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevD.89.094509	journal	May 2014
Grand unification at intermediate mass scales through extra dimensions Dienes, Keith R.; Dudas, Emilian; Gherghetta, Tony Nuclear Physics B, Vol. 537, Issue 1-3 https://doi.org/10.1016/S0550-3213(98)00669-5	journal	January 1999
Establishment of the Coulomb law in the layer phase of a pure U(1) lattice gauge theory Farakos, K.; Vrentzos, S. Physical Review D, Vol. 77, Issue 9 https://doi.org/10.1103/PhysRevD.77.094511	journal	May 2008
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M. Physics Letters B, Vol. 716, Issue 1 https://doi.org/10.1016/j.physletb.2012.08.021	journal	September 2012
A layer phase in a non-isotropic U(1) lattice gauge theory: A new way in dimensional reduction Fu, Y. K.; Nielsen, H. B. Nuclear Physics B, Vol. 236, Issue 1 https://doi.org/10.1016/0550-3213(84)90529-7	journal	April 1984
Guest Editor’s Preface to the Special Issue on lattice gauge theories beyond QCD Lucini, Biagio; Panero, Marco International Journal of Modern Physics A, Vol. 31, Issue 22 https://doi.org/10.1142/S0217751X16020024	journal	August 2016
Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC Aad, G.; Abajyan, T.; Abbott, B. Physics Letters B, Vol. 716, Issue 1 https://doi.org/10.1016/j.physletb.2012.08.020	journal	September 2012
Renormalizable extra-dimensional models Morris, Tim R. Journal of High Energy Physics, Vol. 2005, Issue 01 https://doi.org/10.1088/1126-6708/2005/01/002	journal	January 2005
4-dimensional layer phase as a gauge field localization: Extensive study of the 5-dimensional anisotropic U(1) gauge model on the lattice Dimopoulos, P.; Farakos, K.; Vrentzos, S. Physical Review D, Vol. 74, Issue 9 https://doi.org/10.1103/PhysRevD.74.094506	journal	November 2006
THE HOSOTANI MECHANISM IN BULK GAUGE THEORIES WITH AN ORBIFOLD EXTRA SPACE S ¹ /Z ₂ Kubo, Masahiro; Lim, C. S.; Yamashita, Hiroyuki Modern Physics Letters A, Vol. 17, Issue 34 https://doi.org/10.1142/S0217732302008988	journal	November 2002
Confinement and the Critical Dimensionality of Space-Time Creutz, Michael Physical Review Letters, Vol. 43, Issue 8 https://doi.org/10.1103/PhysRevLett.43.553	journal	August 1979
Renormalizability of gauge theories in extra dimensions Gies, Holger Physical Review D, Vol. 68, Issue 8 https://doi.org/10.1103/PhysRevD.68.085015	journal	October 2003
Study on the nonperturbative existence of Yang-Mills theories with large extra dimensions Ejiri, Shinji; Kubo, Jisuke; Murata, Michika Physical Review D, Vol. 62, Issue 10 https://doi.org/10.1103/PhysRevD.62.105025	journal	October 2000
Scaling laws and effective dimension in lattice $SU (2)$ Yang-Mills theory with a compactified extra dimension Ejiri, Shinji; Fujimoto, Shouji; Kubo, Jisuke Physical Review D, Vol. 66, Issue 3 https://doi.org/10.1103/PhysRevD.66.036002	journal	August 2002
Radiative corrections to Kaluza-Klein masses Cheng, Hsin-Chia; Matchev, Konstantin T.; Schmaltz, Martin Physical Review D, Vol. 66, Issue 3 https://doi.org/10.1103/PhysRevD.66.036005	journal	August 2002
Bulk and brane radiative effects in gauge theories on orbifolds von Gersdorff, G.; Irges, N.; Quirós, M. Nuclear Physics B, Vol. 635, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00395-4	journal	July 2002
Quantum phase transition of high dimensional Yang-Mills theories Irges, N.; Koutsoumbas, G.; Ntrekis, K. Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094506	journal	November 2015
A new model for confinement Irges, Nikos; Knechtli, Francesco Physics Letters B, Vol. 685, Issue 1 https://doi.org/10.1016/j.physletb.2010.01.040	journal	February 2010
Finite Higgs mass without supersymmetry Antoniadis, I.; Benakli, K.; Quirós, M. New Journal of Physics, Vol. 3 https://doi.org/10.1088/1367-2630/3/1/320	journal	January 2001
Mean-field gauge interactions in five dimensions II. The orbifold Irges, Nikos; Knechtli, Francesco; Yoneyama, Kyoko Nuclear Physics B, Vol. 865, Issue 3 https://doi.org/10.1016/j.nuclphysb.2012.08.011	journal	December 2012
The Higgs mechanism as a cut-off effect Irges, Nikos; Knechtli, Francesco; Luz, Magdalena Journal of High Energy Physics, Vol. 2007, Issue 08 https://doi.org/10.1088/1126-6708/2007/08/028	journal	August 2007
Broken symmetries, massless particles and gauge fields Higgs, P. W. Physics Letters, Vol. 12, Issue 2 https://doi.org/10.1016/0031-9163(64)91136-9	journal	September 1964
Five-dimensional Gauge-Higgs Unification: a Standard Model-like Spectrum Alberti, Maurizio; Irges, Nikos; Knechtli, Francesco Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)159	journal	September 2015
Strong coupling and mean field methods in lattice gauge theories Drouffe, J. Physics Reports, Vol. 102, Issue 1-2 https://doi.org/10.1016/0370-1573(83)90034-0	journal	December 1983
Nonperturbative determination of anisotropy coefficients in lattice gauge theories Ejiri, S.; Iwasaki, Y.; Kanaya, K. Physical Review D, Vol. 58, Issue 9 https://doi.org/10.1103/PhysRevD.58.094505	journal	October 1998
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
Mass corrections in string theory and lattice field theory Del Debbio, Luigi; Kerrane, Eoin; Russo, Rodolfo Physical Review D, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevD.80.025003	journal	July 2009
Compact QED under scrutiny: it's first order Arnold, G.; Bunk, B.; Lippert, Th. Nuclear Physics B - Proceedings Supplements, Vol. 119 https://doi.org/10.1016/S0920-5632(03)01704-3	journal	May 2003
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
Two Loop Finiteness of Higgs Mass and Potential in the Gauge-Higgs Unification Hosotani, Y.; Maru, N.; Takenaga, K. Progress of Theoretical Physics, Vol. 118, Issue 6 https://doi.org/10.1143/PTP.118.1053	journal	December 2007
Non-perturbative gauge-Higgs unification: symmetries and order parameters Irges, Nikos; Knechtli, Francesco Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)070	journal	June 2014
Volume independence in large N _c QCD-like gauge theories Kovtun, Pavel; Ünsal, Mithat; Yaffe, Laurence G. Journal of High Energy Physics, Vol. 2007, Issue 06 https://doi.org/10.1088/1126-6708/2007/06/019	journal	June 2007
Localisation and mass generation for non-Abelian gauge fields Laine, Mikko; Meyer, Harvey B.; Rummukainen, Kari Journal of High Energy Physics, Vol. 2003, Issue 01 https://doi.org/10.1088/1126-6708/2003/01/068	journal	January 2003
The structure of GUT breaking by orbifolding Hebecker, Arthur; March-Russell, John Nuclear Physics B, Vol. 625, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00016-0	journal	March 2002
A new six-dimensional approach to the Weinberg-Salam model Manton, N. S. Nuclear Physics B, Vol. 158, Issue 1 https://doi.org/10.1016/0550-3213(79)90192-5	journal	October 1979
Finite temperature and confinement along the extra dimensions studied on a five-dimensional U(1) lattice gauge model Farakos, K.; Vrentzos, S. Physical Review D, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevD.78.114502	journal	December 2008
On the phase structure of five-dimensional SU(2) gauge theories with anisotropic couplings Knechtli, Francesco; Luz, Magdalena; Rago, Antonio Nuclear Physics B, Vol. 856, Issue 1 https://doi.org/10.1016/j.nuclphysb.2011.11.001	journal	March 2012
Mean-field gauge interactions in five dimensions I. The torus Irges, Nikos; Knechtli, Francesco Nuclear Physics B, Vol. 822, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2009.07.001	journal	November 2009
Lattice gauge theory approach to spontaneous symmetry breaking from an extra dimension Irges, Nikos; Knechtli, Francesco Nuclear Physics B, Vol. 775, Issue 3 https://doi.org/10.1016/j.nuclphysb.2007.01.023	journal	July 2007
An Alternative to Compactification Randall, Lisa; Sundrum, Raman Physical Review Letters, Vol. 83, Issue 23 https://doi.org/10.1103/PhysRevLett.83.4690	journal	December 1999
The QCD phase diagram for small densities from imaginary chemical potential de Forcrand, Philippe; Philipsen, Owe Nuclear Physics B, Vol. 642, Issue 1-2 https://doi.org/10.1016/S0550-3213(02)00626-0	journal	October 2002
Higgs mechanism near the 5d bulk phase transition Irges, Nikos; Knechtli, Francesco; Yoneyama, Kyoko Physics Letters B, Vol. 722, Issue 4-5 https://doi.org/10.1016/j.physletb.2013.04.032	journal	May 2013
The transition to a layered phase in the anisotropic five-dimensional SU(2) Yang–Mills theory Del Debbio, Luigi; Kenway, Richard D.; Lambrou, Eliana Physics Letters B, Vol. 724, Issue 1-3 https://doi.org/10.1016/j.physletb.2013.05.062	journal	July 2013
On the large N limit of SU(N) lattice gauge theories in five dimensions Irges, Nikos; Koutsoumbas, George Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)103	journal	August 2012
Nonperturbative definition of five-dimensional gauge theories on the orbifold Irges, Nikos; Knechtli, Francesco Nuclear Physics B, Vol. 719, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.05.002	journal	July 2005
Light scalars in strongly-coupled extra-dimensional theories Del Debbio, Luigi; Rinaldi, Enrico; Hart, Alistair Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)178	journal	July 2012
Symmetry and Z2-Orbifolding Approach in Five-Dimensional Lattice Gauge Theory Ishiyama, K.; Murata, M.; So, H. Progress of Theoretical Physics, Vol. 123, Issue 2 https://doi.org/10.1143/PTP.123.257	journal	February 2010
Impossibility of spontaneously breaking local symmetries Elitzur, S. Physical Review D, Vol. 12, Issue 12 https://doi.org/10.1103/PhysRevD.12.3978	journal	December 1975
The mean field perturbation theory of lattice gauge models with covariant gauge fixing Rühl, W. Zeitschrift für Physik C Particles and Fields, Vol. 18, Issue 3 https://doi.org/10.1007/BF01571361	journal	September 1983
The Gauge Hierarchy Problem and Higher-Dimensional Gauge Theories Hatanaka, Hisaki; Inami, Takeo; Lim, C. S. Modern Physics Letters A, Vol. 13, Issue 32 https://doi.org/10.1142/S021773239800276X	journal	October 1998
Exploration of the phase diagram of 5D anisotropic SU(2) gauge theory Farakos, K.; Vrentzos, S. Nuclear Physics B, Vol. 862, Issue 3 https://doi.org/10.1016/j.nuclphysb.2012.05.002	journal	September 2012
The phase diagram of Yang-Mills theory with a compact extra dimension de Forcrand, Philippe; Kurkela, Aleksi; Panero, Marco Journal of High Energy Physics, Vol. 2010, Issue 6 https://doi.org/10.1007/JHEP06(2010)050	journal	June 2010
QCD as a quantum link model Brower, R.; Chandrasekharan, S.; Wiese, U. -J. Physical Review D, Vol. 60, Issue 9 https://doi.org/10.1103/PhysRevD.60.094502	journal	September 1999
Finite size phase transitions in QCD with adjoint fermions Cossu, Guido; D'Elia, Massimo Journal of High Energy Physics, Vol. 2009, Issue 07 https://doi.org/10.1088/1126-6708/2009/07/048	journal	July 2009
Dynamical gauge symmetry breaking as the casimir effect Hosotani, Yutaka Physics Letters B, Vol. 129, Issue 3-4 https://doi.org/10.1016/0370-2693(83)90841-9	journal	September 1983
Dynamical compactification as a mechanism of spontaneous supersymmetry breaking Dvali, G.; Shifman, M. Nuclear Physics B, Vol. 504, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00420-3	journal	October 1997
Asymptotically free lattice gauge theory in five dimensions Kanazawa, Takuya; Yamamoto, Arata Physical Review D, Vol. 91, Issue 7 https://doi.org/10.1103/PhysRevD.91.074508	journal	April 2015
Quantum link models: A discrete approach to gauge theories Chandrasekharan, S.; Wiese, U. -J Nuclear Physics B, Vol. 492, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)80041-7	journal	May 1997

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
lattice simulations
extra dimensions
gauge-Higgs unification
symmetry breaking

Title: Extra-dimensional models on the lattice

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