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Lattice computations in the Hamiltonian formulation have so far mainly focused on staggered fermions. In these proceedings, we study Wilson fermions in the Hamiltonian formulation and propose a new method to determine the resulting mass…

High Energy Physics - Lattice · Physics 2023-10-19 Takis Angelides , Lena Funcke , Karl Jansen , Stefan Kühn

We propose and test an algorithm to simulate a lattice system of interacting fermions in two spatial dimensions. The approach is an extension of the entanglement renormalization technique [Phys. Rev. Lett. 99, 220405 (2007)] and the related…

Strongly Correlated Electrons · Physics 2010-03-05 Philippe Corboz , Glen Evenbly , Frank Verstraete , Guifre Vidal

Symplectic gauge theories coupled to matter fields lead to symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and…

Based on recent work by Adams, I construct a lattice fermion operator that fully lifts the staggered flavor degeneracy. The resulting operator is of Wilson type but smaller by a factor of 4, better conditioned and contains 3 instead of 15…

High Energy Physics - Lattice · Physics 2011-01-31 Christian Hoelbling

We study the dynamics and phase structure of Abelian gauge theories in $d=1+1$ dimensions. These include $U(1)$ gauge theory coupled to a scalar and a fermion, as well as the two-flavour Schwinger model with different charges. Both theories…

High Energy Physics - Theory · Physics 2026-04-23 Rishi Mouland , David Tong , Bernardo Zan

Three techniques for performing gauge-invariant, noncompact lattice simulations of nonabelian gauge theories are discussed. In the first method, the action is not itself gauge invariant, but a kind of lattice gauge invariance is restored by…

High Energy Physics - Lattice · Physics 2008-02-03 Kevin Cahill

We explore a geometric approach to generating local SU(2) and $SL(2,\mathbb{C})$ invariants for a collection of qubits inspired by lattice gauge theory. Each local invariant or 'gauge' invariant is associated to a distinct closed path (or…

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation, including the relevance to recent searches for a conformal…

High Energy Physics - Lattice · Physics 2010-11-04 Kei-ichi Nagai , Maria Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

We explore the phase structure of the 1+1 dimensional Gross-Neveu model at finite number of fermion flavors using lattice field theory. Besides a chirally symmetric phase and a homogeneously broken phase we find evidence for the existence…

High Energy Physics - Lattice · Physics 2022-09-21 Laurin Pannullo , Julian Lenz , Marc Wagner , Björn Wellegehausen , Andreas Wipf

Three dimensional Thirring model with $N$ four-component Dirac fermions, reformulated as a lattice gauge theory, is studied by computer simulation. According to an $8^{3}$ data and preliminary $16^3$ data, chiral symmetry is found to be…

High Energy Physics - Lattice · Physics 2016-01-27 Seyong Kim , Yoonbai Kim

We extend the idea of fermion bags to Hamiltonian lattice field theories in the continuous time formulation. Using a class of models we argue that the temperature is a parameter that splits the fermion dynamics into small spatial regions…

High Energy Physics - Lattice · Physics 2017-12-13 Emilie Huffman , Shailesh Chandrasekharan

Recent LHC bounds on squark masses combined with naturalness and flavor considerations motivate non-trivial sfermion mass spectra in the supersymmetric Standard Model. These can arise if supersymmetry breaking is communicated to the visible…

High Energy Physics - Phenomenology · Physics 2015-06-03 Nathaniel Craig , Matthew McCullough , Jesse Thaler

When a subgroup of the flavor symmetry group of a gauge theory is weakly coupled to additional gauge fields, the vacuum tends to align such that the gauged subgroup is unbroken. At the same time, the lattice discretization typically breaks…

High Energy Physics - Lattice · Physics 2014-10-30 Maarten Golterman , Yigal Shamir

We investigate a recent proposal to construct chiral gauge theories on the lattice using domain wall fermions. We restrict ourselves to the finite volume case, in which two domain walls are present, with modes of opposite chirality on each…

High Energy Physics - Lattice · Physics 2009-10-22 Maarten F. L. Golterman , Karl Jansen , Donald N. Petcher , Jeroen C. Vink

We investigate the spectrum and IR properties of the SU(3) "sextet" model with two Dirac fermions in the two-index symmetric representation via lattice simulations. This model is a prime candidate for a realization of Walking Technicolor,…

High Energy Physics - Lattice · Physics 2017-08-30 Martin Hansen , Vincent Drach , Claudio Pica

We have recently introduced a new implementation of the Feynman gauge on the lattice, based on a minimizing functional that extends in a natural way the Landau-gauge case, while preserving all the properties of the continuum formulation.…

High Energy Physics - Lattice · Physics 2015-05-27 Attilio Cucchieri , Tereza Mendes , Gilberto M. Nakamura e Elton M. S. Santos

Using mean--field improved gauge field configurations, we compare the results obtained for the quark propagator from Wilson fermions and Overlap fermions on a $\3$ lattice at a spacing of $a=0.125(2)$ fm.

High Energy Physics - Lattice · Physics 2010-03-04 F. D. R. Bonnet , D. B. Leinweber , A. G. Williams , J. M. Zanotti , J. B. Zhang

We investigate the procedures of loading and detecting three-dimensional fermionic quantum gases in a one-dimensional optical superlattice potential subjected to a trapping potential. Additionally, we consider the relaxation dynamics after…

Quantum Gases · Physics 2015-06-10 Ameneh Sheikhan , Corinna Kollath

Partial compositeness is a mechanism for the generation of fermion masses which replaces a direct Higgs coupling to the fermions by a linear mixing with heavy composite partners. We present the first calculation of the relevant matrix…

High Energy Physics - Phenomenology · Physics 2019-05-29 Venkitesh Ayyar , Thomas DeGrand , Daniel C. Hackett , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

We determine non-perturbatively a fixed-point (FP) action for fermions in the two-dimensional U(1) gauge (Schwinger) model. Our parameterization for the fermionic action has terms within a $7\times 7$ square on the lattice, using compact…

High Energy Physics - Lattice · Physics 2009-10-30 C. B. Lang , T. K. Pany