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The interplay between lattice gauge theories and fermionic matter accounts for fundamental physical phenomena ranging from the deconfinement of quarks in particle physics to quantum spin liquid with fractionalized anyons and emergent gauge…

Strongly Correlated Electrons · Physics 2019-05-06 Xiao Yan Xu , Yang Qi , Long Zhang , Fakher F. Assaad , Cenke Xu , Zi Yang Meng

We propose a general formulation of simplicial lattice gauge theory inspired by the finite element method. Numerical tests of convergence towards continuum results are performed for several SU(2) gauge fields. Additionaly, we perform…

High Energy Physics - Lattice · Physics 2011-11-29 Tore Gunnar Halvorsen , Torquil Macdonald Sørensen

We consider the $Sp(4)$ gauge theory coupled to $N_f=2$ fundamental and $n_f=3$ antisymmetric flavours of Dirac fermions in four dimensions. This theory serves as the microscopic origin for composite Higgs models with $SU(4)/Sp(4)$ coset,…

High Energy Physics - Lattice · Physics 2022-07-20 Ed Bennett , Deog Ki Hong , Ho Hsiao , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Michele Mesiti , Maurizio Piai , Davide Vadacchino

Gauge theories are the cornerstone of our understanding of fundamental interactions among particles. Their properties are often probed in dynamical experiments, such as those performed at ion colliders and high-intensity laser facilities.…

We present a first exploratory study of SU(2) gauge theory with one Dirac flavour in the adjoint representation. We provide initial results for the spectroscopy and the anomalous dimension for the chiral condensate. Our investigation…

High Energy Physics - Lattice · Physics 2013-11-19 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini , Agostino Patella

Technicolor theories provide an elegant mechanism for dynamical electroweak symmetry breaking. We will discuss the use of lattice simulations to study the strongly-interacting dynamics of some of the candidate theories, with matter fields…

High Energy Physics - Lattice · Physics 2009-09-18 C. Pica , L. Del Debbio , B. Lucini , A. Patella , A. Rago

We study the SU(3) gauge theory with Nf=12 flavors in the fundamental representation by use of lattice simulations with staggered fermions. With a non-improved action we observe a chiral zero-temperature (bulk) transition separating a…

High Energy Physics - Lattice · Physics 2013-03-26 Albert Deuzeman , Maria Paola Lombardo , Tiago Nunes da Silva , Elisabetta Pallante

Reassigning degrees of freedom in the standard model allows an interpretation where the SU(2) gauge group is vector-like and parity violation moves to the strong and electromagnetic interactions. In this picture, the electron is paired with…

High Energy Physics - Lattice · Physics 2009-10-30 Michael Creutz

SU(2)xU(1) electroweak gauge model without Higgs sector is extended by a new vector field C interacting with leptons and quarks of both chiralities. This interaction is treated under a dynamical assumption in a self-consistent…

High Energy Physics - Phenomenology · Physics 2009-09-25 Jiri Hosek

We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger…

High Energy Physics - Lattice · Physics 2016-05-27 Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen

Quantum simulators have the exciting prospect of giving access to real-time dynamics of lattice gauge theories, in particular in regimes that are difficult to compute on classical computers. Future progress towards scalable quantum…

Quantum Gases · Physics 2018-08-21 T. V. Zache , F. Hebenstreit , F. Jendrzejewski , M. K. Oberthaler , J. Berges , P. Hauke

We summarize basic features associated to dynamical breaking of the electroweak symmetry. The knowledge of the phase diagram of strongly coupled theories as function of the number of colors, flavors and matter representation plays a…

High Energy Physics - Phenomenology · Physics 2012-11-27 Francesco Sannino

We construct realistic supergravity models where supersymmetry breaking arises from the $D$-terms of an anomalous $U(1)$ gauge symmetry broken at the Planck scale. The model has the attractive feature that the gaugino masses, the $A$ and…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. N. Mohapatra , Antonio Riotto

We consider the role of spontaneous lattice symmetry breaking in strongly interacting two dimensional Dirac systems. The fermion induced quantum (multi-)criticality is described by Dirac fermions coupled to a dynamical order parameter that…

Strongly Correlated Electrons · Physics 2020-04-22 Elliot Christou , Fernado de Juan , Frank Krüger

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present in detail the implementation of the HMC/RHMC algorithm for simulating dynamical fermions. We discuss the…

High Energy Physics - Lattice · Physics 2014-11-18 Luigi Del Debbio , Agostino Patella , Claudio Pica

Undeniably, the imminent activity of LHC and the quest for the nature of physics beyond the standard model have raised renewed interest in the conformal and quasi-conformal behaviour of gauge field theories with matter content.…

High Energy Physics - Lattice · Physics 2010-01-21 A. Deuzeman , M. P. Lombardo , E. Pallante

We report the findings of our extensive study of the spectra of flavoured mesons in lattice gauge theories with symplectic gauge group and fermion matter content treated in the quenched approximation. For the $Sp(4)$, $Sp(6)$, and $Sp(8)$…

High Energy Physics - Lattice · Physics 2024-04-17 Ed Bennett , Jack Holligan , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

Strongly coupled gauge theories provide an ultra-violet realization of new physics models for physics beyond the Standard Model of particle physics arising from composite dynamics. Depending on the gauge group and matter content, they are…

High Energy Physics - Lattice · Physics 2024-10-31 Jong-Wan Lee

It is shown that by introducing as dynamical variables in the formulation of gauge theories the frame vectors (or vielbeins) in internal symmetry space, in addition to the standard gauge boson and matter fermion fields, one obtains: (i) for…

High Energy Physics - Phenomenology · Physics 2015-06-03 H. M. Chan , S. T. Tsou

Multiflavor gauge theories of matter systems on a three-dimensional lattice have recently been widely investigated especially in connection with a possible symmetry enlargement at a continuous phase transition. Abelian models were studied…

High Energy Physics - Lattice · Physics 2024-11-25 D. Babusci , F. Palumbo