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The legality of the "rooting trick" in dynamical staggered fermion simulations is discussed, i.e. whether the theory with the Boltzmann weight $\det^{1/4}(D_\mathrm{st})$ yields the right continuum limit. Since the problem is unsolved,…

High Energy Physics - Lattice · Physics 2007-05-23 Stephan Durr

We show that the phase structure of certain staggered fermion theories can be understood on the basis of exact anomalies. These anomalies arise when staggered fermions are coupled to gravity which can be accomplished by replacing them by…

High Energy Physics - Lattice · Physics 2023-01-18 Simon Catterall

The R algorithm is widely used for simulating two flavours of dynamical staggered fermions. We give a simple proof that the algorithm converges to the desired probability distribution to within O(dt^2) errors, but show that the relevant…

High Energy Physics - Lattice · Physics 2009-11-07 M. A. Clark , B. Joo , A. D. Kennedy

We consider the most general fractional background fluxes in the color, flavor, and baryon number directions, compatible with the faithful action of the global symmetry of a given theory. We call the obstruction to gauging symmetries…

High Energy Physics - Theory · Physics 2020-01-08 Mohamed M. Anber , Erich Poppitz

A cluster algorithm is constructed and applied to study the chiral limit of the strongly coupled lattice Schwinger model involving staggered fermions. The algorithm is based on a novel loop representation of the model. Finite size scaling…

High Energy Physics - Lattice · Physics 2009-11-07 Shailesh Chandrasekharan

We study the flavor structure of the lepton and baryon number--conserving dimension-6 operators in the Standard Model effective field theory (SMEFT). Building on the work of [1], we define several well-motivated flavor symmetries and…

High Energy Physics - Phenomenology · Physics 2023-05-26 Admir Greljo , Ajdin Palavrić , Anders Eller Thomsen

The reasons for the feasibility of the Microcanonical Fermionic Average ($MFA$) approach to lattice gauge theory with dynamical fermions are discussed. We then present a new exact algorithm, which is free from systematic errors and…

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

We report the results of a numerical study of staggered overlap fermions, following the construction of Adams which reduces the number of tastes from 4 to 2 without fine-tuning. We study the sensitivity of the operator to the topology of…

High Energy Physics - Lattice · Physics 2015-03-18 Philippe de Forcrand , Aleksi Kurkela , Marco Panero

A way to identify the would-be zero-modes of staggered lattice fermions away from the continuum limit is presented. Our approach also identifies the chiralities of these modes, and their index is seen to be determined by gauge field…

High Energy Physics - Lattice · Physics 2010-04-14 David H. Adams

We have extended staggered chiral perturbation theory to O(a^2 p^2), O(a^4), and O(a^2 m), the orders necessary for a full next-to-leading order calculation of pseudo-Goldstone boson masses and decay constants including taste-symmetry…

High Energy Physics - Lattice · Physics 2010-11-19 Stephen R. Sharpe , Ruth S. Van de Water

We report on progress in measuring disconnected correlators associated with pseudoscalar flavor-singlet mesons. This will eventually allow us to compute the masses of the eta and eta' mesons. Flavor-singlet physics also presents an…

High Energy Physics - Lattice · Physics 2016-09-01 Eric B. Gregory , Alan C. Irving , Craig McNeile , Steven Miller , Zbigniew Sroczynski

Given two graphs, the graph matching problem is to align the two vertex sets so as to minimize the number of adjacency disagreements between the two graphs. The seeded graph matching problem is the graph matching problem when we are first…

In this letter we compute the leading chiral corrections to the ratio between the tensor and the vector decay couplings for the lowest lying vector meson multiplet (rho, K^*, phi). We show that the leading chiral logarithms arise from…

High Energy Physics - Phenomenology · Physics 2010-02-23 Oscar Cata , Vicent Mateu

The usual methods for root finding of polynomials are based on the iteration of a numerical formula for improvement of successive estimations. The unpredictable nature of the iterations prevents to search roots inside a pre-specified region…

Numerical Analysis · Mathematics 2013-08-21 Juan Luis García Zapata , Juan Carlos Díaz Martín

The spectral projectors method is a way to obtain a theoretically well posed definition of the topological susceptibility on the lattice. Up to now this method has been defined and applied only to Wilson fermions. The goal of this work is…

High Energy Physics - Lattice · Physics 2020-01-08 Claudio Bonanno , Giuseppe Clemente , Massimo D'Elia , Francesco Sanfilippo

One exciting possibility of new physics beyond the Standard Model is that the fundamental Higgs sector is replaced by a strongly-interacting gauge theory, known as technicolor. A viable theory must break chiral symmetry dynamically, like in…

High Energy Physics - Lattice · Physics 2010-01-21 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

We discuss the phenomenology of effective field theories with new scalar or vector representations of the Standard Model quark flavor symmetry group, allowing for large flavor breaking involving the third generation. Such field content can…

High Energy Physics - Phenomenology · Physics 2015-05-30 Benjamin Grinstein , Alexander L. Kagan , Michael Trott , Jure Zupan

We explore an algorithm for approximating roots of integers, discuss its motivation and derivation, and analyze its convergence rates with varying parameters and inputs. We also perform comparisons with established methods for approximating…

Numerical Analysis · Mathematics 2021-01-11 William Gerst

Inspired by the infinite families of finite and affine root systems, we consider a "stretching" operation on general crystallographic root systems which, on the level of Coxeter diagrams, replaces a vertex with a path of unlabeled edges. We…

Combinatorics · Mathematics 2020-10-22 Will Dana

Flavour symmetries are fundamental tools in the search for an explanation to the flavour puzzle: fermion mass hierarchies, the neutrino mass ordering, the differences between the mixing matrices in the quark and lepton sector, can all find…

High Energy Physics - Phenomenology · Physics 2015-03-12 Luca Merlo
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