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Supercomputer simulations of field theories

English title Supercomputer simulations of field theories
Applicant de Forcrand Philippe
Number 149723
Funding scheme Project funding (Div. I-III)
Research institution Institut für Theoretische Physik ETH Zürich
Institution of higher education ETH Zurich - ETHZ
Main discipline Theoretical Physics
Start/End 01.10.2013 - 30.09.2015
Approved amount 219'355.00
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Keywords (2)

Lattice gauge theory; Extra dimensions

Lay Summary (French)

Lead
Notre monde semble avoir 3 dimensions, plus une pour le temps.Mais il se pourrait qu'il existe d'autres dimensions d'espace, que l'onne remarque normalement pas parce qu'elle sont enroulees sur elles-memesen formant de minuscules tubes: un cylindre ne se distingue pas facilementd'une simple droite, si son diametre est tres petit. Cette possibilitede dimensions supplementaires "compactes" est exploitee dans bon nombre detheories decrivant les 4 forces connues de facon unifiee.
Lay summary
Contenu et objectifs du travail de recherche:

Notre objectif principal est d'etudier, analytiquement et par simulations
numeriques, une proposition pour obtenir des interactions "chirales"
en 4 dimensions, a partir d'une theorie a 6 dimensions dont 2 compactes.
Le Modele Standard possede des interactions "chirales" (les particules
interagissent ensemble seulement si elles satisfont une symetrie analogue
a celle d'un tire-bouchon, qui avance si on le visse). La formulation de
telles interactions sur un reseau, et leur simulation numerique, est un
probleme encore non resolu apres 30 ans d'effort. Nous voulons suivre
une proposition recente, formulee en 6 dimensions, et comprendre le cas
echeant les raisons de son echec.

Un autre objectif est l'etude d'une variante du mechanisme de Higgs,
ou le boson de Higgs apparait naturellement dans une theorie de jauge
a 5 dimensions.

Contexte scientifique et social du projet de recherche:

Si nous reussissons a simuler des interactions "chirales", ce succes permettra
alors enfin de simuler le Modele Standard dans sa totalite.
L'aspect social d'une recherche en physique theorique reste naturellement
limite.

Direct link to Lay Summary Last update: 06.11.2013

Responsible applicant and co-applicants

Employees

Publications

Publication
Diagrammatic Monte Carlo simulations of staggered fermions at finite coupling
de Forcrand Philippe, Vairinhos Helvio (2016), Diagrammatic Monte Carlo simulations of staggered fermions at finite coupling, in Proceedings of Science, LATTICE2015, 170.
Lattice simulation of the SU(2) chiral model at zero and non-zero pion density
Rindlisbacher Tobias, de Forcrand Philippe (2016), Lattice simulation of the SU(2) chiral model at zero and non-zero pion density, in Proceedings of Science, (LATTICE201), 171.
Oscillating propagators in heavy-dense QCD
Akerlund Oscar, de Forcrand Philippe, Rindlisbacher Tobias (2016), Oscillating propagators in heavy-dense QCD, in JHEP, 1610, 055.
Gauge-invariant signatures of spontaneous gauge symmetry breaking by the Hosotani mechanism
Akerlund Oscar, de Forcrand Philippe (2015), Gauge-invariant signatures of spontaneous gauge symmetry breaking by the Hosotani mechanism, in PoS, LATTICE2014, 272-272.
QCD phase diagram from the lattice at strong coupling
de Forcrand Philippe, Philipsen Owe, Unger Wolfgang (2015), QCD phase diagram from the lattice at strong coupling, in PoS, CPOD2014, 061.
Chiral phase transition in two-flavor QCD from an imaginary chemical potential
Bonati Claudio, de Forcrand Philippe, D'Elia Massimo, Philipsen Owe, Sanfilippo Francesco (2014), Chiral phase transition in two-flavor QCD from an imaginary chemical potential, in Phys. Rev., D90(7), 074030-074030.
Complex $φ^4$ Theory at Finite Temperature and Density via Extended Mean Field Theory
Akerlund Oscar, de Forcrand Philippe (2014), Complex $φ^4$ Theory at Finite Temperature and Density via Extended Mean Field Theory, in PoS, LATTICE2013, 195-195.
Deformations of infrared-conformal theories in two dimensions
Akerlund Oscar, de Forcrand Philippe (2014), Deformations of infrared-conformal theories in two dimensions, in PoS, LATTICE2014, 243-243.
Effective lattice Polyakov loop theory vs. full SU(3) Yang-Mills at finite temperature
Bergner Georg, Langelage Jens, Philipsen Owe (2014), Effective lattice Polyakov loop theory vs. full SU(3) Yang-Mills at finite temperature, in JHEP, (1403), 039.
Extended Mean Field study of complex $ϕ^4$-theory at finite density and temperature
Akerlund Oscar, de Forcrand Philippe, Georges Antione, Werner Philipp (2014), Extended Mean Field study of complex $ϕ^4$-theory at finite density and temperature, in Phys. Rev., D90(6), 065008-065008.
Heavy dense QCD and nuclear matter from an effective lattice theory
Langelage Jens, Neuman Matthias, Philipsen Owe (2014), Heavy dense QCD and nuclear matter from an effective lattice theory, in JHEP, (1409), 131.
Integrating out lattice gauge fields
Vairinhos Helvio, de Forcrand Philippe (2014), Integrating out lattice gauge fields, in PoS, CPOD2014, 061-061.
Lattice gauge theory without link variables
Vairinhos Hélvio, de Forcrand Philippe (2014), Lattice gauge theory without link variables, in JHEP, 12, 038-038.
Lattice QCD Phase Diagram In and Away from the Strong Coupling Limit
de Forcrand Philippe, Langelage Jens, Philipsen Owe, Unger Wolfgang (2014), Lattice QCD Phase Diagram In and Away from the Strong Coupling Limit, in Phys. Rev. Lett., 113(15), 152002-152002.
The chiral phase transition for two-flavour QCD at imaginary and zero chemical potential
Bonati Claudio, D'Elia Massimo, de Forcrand Philippe, Philipsen Owe, Sanfillippo Francesco (2014), The chiral phase transition for two-flavour QCD at imaginary and zero chemical potential, in PoS, LATTICE2013, 219-219.
The Phase Diagram of Strong Coupling QCD including Gauge Corrections
de Forcrand Philippe, Langelage Jens, Philipsen Owe, Unger Wolfgang (2014), The Phase Diagram of Strong Coupling QCD including Gauge Corrections, in PoS, LATTICE2013, 142-142.
A surprise with many-flavor staggered fermions in the strong coupling limit
de Forcrand Philippe, Kim Seyong, Unger Wolfgang (2013), A surprise with many-flavor staggered fermions in the strong coupling limit, in PoS, LATTICE2012, 053-053.
Conformality in many-flavour lattice QCD at strong coupling
de Forcrand Philippe, Kim Seyong, Unger Wolfgang (2013), Conformality in many-flavour lattice QCD at strong coupling, in JHEP, 02, 051-051.
Dynamical Mean Field Approximation Applied to Quantum Field Theory
Akerlund Oscar, de Forcrand Philippe, Georges Antoine, Werner Philipp (2013), Dynamical Mean Field Approximation Applied to Quantum Field Theory, in Phys. Rev., D88, 125006-125006.
New algorithms and new results for strong coupling LQCD
Unger Wolfgang, de Forcrand Philippe (2013), New algorithms and new results for strong coupling LQCD, in PoS, LATTICE2012, 194-194.
Two-Flavor Lattice QCD with a Finite Density of Heavy Quarks: Heavy-Dense Limit and 'Particle-Hole' Symmetry
Rindlisbacher Tobias, de Forcrand Philippe, Two-Flavor Lattice QCD with a Finite Density of Heavy Quarks: Heavy-Dense Limit and 'Particle-Hole' Symmetry, in JHEP.

Collaboration

Group / person Country
Types of collaboration
Prof. Massimo D'Elia, University of Pisa Italy (Europe)
- in-depth/constructive exchanges on approaches, methods or results
- Publication
Prof. Owe Philipsen Germany (Europe)
- in-depth/constructive exchanges on approaches, methods or results
- Publication

Associated projects

Number Title Start Funding scheme
137920 Supercomputer simulations of field theories 01.10.2011 Project funding (Div. I-III)
162515 Supercomputer simulations of field theories 01.10.2015 Project funding (Div. I-III)

Abstract

We want to explore, by numerical lattice simulations, the non-perturbative physics of quantum field theories formulated in 5 and 6 dimensions.The possibility that the world has more dimensions than (3+1)d space and time was considered by Kaluza and Klein almost a century ago.Nowadays, extra dimensions are being studied by a large fraction ofthe theoretical physics community: string theory and the AdS-CFT correspondance are prominent examples. Several BSM (Beyond the StandardModel) scenarios, currently tested against experimental data at CERN'sLHC, also assume extra dimensions. Yet in these many applications, theeffects of extra dimensions are treated perturbatively, at the classicalor at most the 1-loop level.We are interested in performing first non-perturbative studies of someparticularly interesting proposals involving 5 and 6 space-time dimensions.In 5 dimensions, with the extra dimension curled up in a tiny circle,the non-contractible closed loop of gauge field along the extra dimensioncan play the role of a Higgs field in the effective 4-dimensional theory.This powerful and popular idea of ``Gauge-Higgs Unification'' needs to be tested non-perturbatively. In particular, the dynamical breaking of the gauge symmetry from SU(3) to SU(2)xU(1) is only supported by perturbative arguments, while the 4d physics is non-perturbative. Similarly, the finite-temperature properties of the model will differ from the usual ones because of the extra dimension.In 6 dimensions one can define an additional chirality, because of the two extra dimensions. It has been claimed that the appropriately compactified 4d theory contains fermions having only left-handed (or right-handed) couplings to the gauge field. If that would be true, it would enable lattice simulations of the Standard Model and solve a decades-old problem. We want to understand the transcription of this mechanism on the lattice, and the reason for its failure if such is the case.Similarly, one can introduce a flux through the 2 extra dimensions.Depending on the fermion content of the theory, a non-zero flux may beenergetically favored, which would affect the fermion masses of theeffective 4d theory, and perhaps shed new light on the mass hierarchyamong the 3 quark families observed in the Standard Model.
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