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Previous work has shown that high-quality control variates for lattice Monte Carlo methods may be constructed from lattice Schwinger-Dyson relations. This paper extends that method to theories with lattice fermions, using the Thirring model…

High Energy Physics - Lattice · Physics 2024-04-17 Scott Lawrence

We present a non-perturbative lattice study of SU(4) gauge theory with two flavors of fermions in the fundamental representation and two in the two-index antisymmetric representation: a theory closely related to a minimal…

High Energy Physics - Lattice · Physics 2019-09-10 Guido Cossu , Luigi Del Debbio , Marco Panero , David Preti

In this paper I propose the use of a lattice derivative operator that is equivalent to the ideal SLAC derivative operator in all lattice calculations, but without the prohibitively expensive computational cost of the latter. A pedagogical…

High Energy Physics - Lattice · Physics 2007-05-23 John P. Costella

The Microcanonical Fermionic Average method has been used so far in the context of lattice models with phase transitions at finite coupling. To test its applicability to Asymptotically Free theories, we have implemented it in QED$_2$, \it…

High Energy Physics - Lattice · Physics 2009-10-22 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena

The formulation of massless relativistic fermions in lattice gauge theories is hampered by the fundamental problem of species doubling, namely, the rise of spurious fermions modifying the underlying physics. A suitable tailoring of the…

Quantum Gases · Physics 2010-11-15 A. Bermudez , L. Mazza , M. Rizzi , N. Goldman , M. Lewenstein , M. A. Martin-Delgado

We consider a possible discretization for the gauge-fixed Green-Schwarz (two-dimensional) sigma-model action for the Type IIB superstring and use it for measuring the cusp anomalous dimension of planar $\mathcal{N}=4$ SYM as derived from…

High Energy Physics - Lattice · Physics 2016-01-19 Valentina Forini , Lorenzo Bianchi , Marco S. Bianchi , Björn Leder , Edoardo Vescovi

We formulate the physics of two species of non-relativistic hard-core bosons with attractive or repulsive delta function interactions on a space-time lattice in the worldline approach. We show that worm algorithms can efficiently sample the…

High Energy Physics - Lattice · Physics 2019-05-01 Hersh Singh , Shailesh Chandrasekharan

Nonzero chemical potential studies with Wilson fermions should avoid the proliferation of flavor-equivalent nucleon states encountered with staggered formulation of fermions. However, conventional wisdom has been that finite baryon density…

High Energy Physics - Lattice · Physics 2016-08-31 Walter Wilcox , Simeon Trendafilov , Eduardo Mendel

We derive an exact representation of the massless Schwinger model on the lattice in terms of dual variables which are configurations of loops, dimers and plaquette occupation numbers. When expressed with the dual variables the partition sum…

High Energy Physics - Lattice · Physics 2015-12-09 Christof Gattringer , Thomas Kloiber , Vasily Sazonov

We study the linear response to an external electric field of a system of fermions in a lattice at zero temperature. This allows to measure numerically the Euclidean conductivity which turns out to be compatible with an analytical…

Condensed Matter · Physics 2009-10-31 J. L. Alonso , L. A. Fernandez , V. Martin-Mayor

An improved approach to the simulation of strongly fluctuating Coulomb gases, based on a local lattice technique introduced by Maggs and Rossetto, is described and then tested in a problem of biophysical interest. The low acceptance rates…

Soft Condensed Matter · Physics 2009-11-10 A. Duncan , R. D. Sedgewick , R. D. Coalson

The lattice fermion determinants, in a given background gauge field, are evaluated for two different kinds of random lattices and compared to those of naive and wilson fermions in the continuum limit. While the fermion doubling is confirmed…

High Energy Physics - Lattice · Physics 2009-10-28 T. D. Kieu , J. F. Markham , C. B. Paranavitane

Susskind's continuous-time fermions, with two flavours, can be latticized using a one-sided time derivative. We are presently investigating the interacting case, where we hope to find the onset at finite $\mu$ at the right place due to the…

High Energy Physics - Lattice · Physics 2016-08-31 E. Mendel , L. Polley

In this study, we propose an alternative way to simulate particle suspensions using the lattice Boltzmann method. The main idea is to impose the non-slip boundary condition in the lattice sites located on the particle boundaries. The focus…

Computational Physics · Physics 2011-05-17 Luís Orlando Emerich dos Santos , Paulo Cesar Philippi

We study the two dimensional lattice Thirring model in the presence of a fermion chemical po- tential. Our model is asymptotically free, contains massive fermions that mimic a baryon and light bosons that mimic pions. Hence it is a useful…

High Energy Physics - Lattice · Physics 2018-03-14 Venkitesh Ayyar , Shailesh Chandrasekharan , Jarno Rantaharju

We describe a proposal for constructing a lattice theory that we argue may be capable of yielding free Weyl fermions in the continuum limit. The model employs reduced staggered fermions and uses site parity dependent Yukawa interactions of…

High Energy Physics - Lattice · Physics 2021-07-14 Simon Catterall

This thesis is focused on the implementation and the application of a novel kind of algorithm which is expected to overcome the limitations of older schemes. This new algorithm is named Multiboson Method. It allows to simulate an arbitrary…

High Energy Physics - Lattice · Physics 2009-09-29 Wolfram Schroers

A method for simulating chiral gauge theories on the lattice is proposed, involving zeromodes on a topological defect. Lattice doublers may be decoupled in a gauge invariant manner, and flavor anomalies can be directly observed on a finite…

High Energy Physics - Lattice · Physics 2011-07-19 D. B. Kaplan

We present a solution to the sign problem in a class of particle-hole symmetric Hamiltonian lattice fermion models on bipartite lattices using the idea of fermion bags. The solution remains valid when the particle-hole symmetry is broken…

High Energy Physics - Lattice · Physics 2015-12-03 Emilie Huffman , Shailesh Chandrasekharan

We propose a new method for Hybrid Monte Carlo (HMC) simulations with odd numbers of dynamical fermions on the lattice. It employs a different approach from polynomial or rational HMC. In this method, gamma-five hermiticity of the lattice…

High Energy Physics - Lattice · Physics 2015-05-27 Kenji Ogawa