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Related papers: Schr"odinger functional at negative flavour number

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The coefficients multiplying the counterterms required for O($a$) improvement of the action and the isovector axial current in lattice QCD are computed non-perturbatively, in the quenched approximation and for bare gauge couplings $g_0$ in…

High Energy Physics - Lattice · Physics 2016-09-01 Martin Luescher , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

We perform a model study on the 2-flavor lattice Schwinger model using standard Wilson and ${\cal O}(a)$ improved Sheikholeslami-Wohlert (SW) action. We find, that the phase diagram is altered, the critical line shifted closer towards its…

High Energy Physics - Lattice · Physics 2007-05-23 Ch. Hoelbling , C. B. Lang , R. Teppner

We develop a strategy for the non-perturbative determination of the O(a)-improvement coefficient c_sw for Wilson fermions with massive sea quarks. The improvement condition is defined via the PCAC relation in the Schr\"odinger functional.…

High Energy Physics - Lattice · Physics 2015-01-28 Patrick Fritzsch , Rainer Sommer , Felix Stollenwerk , Ulli Wolff

QCD is investigated at finite temperature using Wilson fermions in the fixed scale approach. A 2+1 flavor stout and clover improved action is used at four lattice spacings allowing for control over discretization errors. The light quark…

Finite size scaling is a powerful tool to study the critical properties of systems governed by one relevant operator, assuming all irrelevant operators have scaling dimensions much smaller then zero. This condition is likely not satisfied…

High Energy Physics - Lattice · Physics 2022-09-21 Anna Hasenfratz , Anqi Cheng , Gregory Petropoulos , David Schaich

The exact nature of the chiral phase transition in QCD is still under investigation. In $N_f=2$ and $N_f=(2+1)$ lattice simulations with staggered fermions the expected O($N$)-scaling behavior was observed. However, it is still not clear…

High Energy Physics - Phenomenology · Physics 2015-09-16 Paul Springer , Bertram Klein

We show that hadronic matrix elements can be extracted from lattice simulations with background fields that arise from operator exponentiation. Importantly, flavour-singlet matrix elements can be evaluated without requiring the computation…

High Energy Physics - Lattice · Physics 2008-11-26 W. Detmold

Lattice scalar field theories encounter a sign problem when the coupling constant is complex. This is a close cousin of the real-time sign problems that afflict the lattice Schwinger-Keldysh formalism, and a more distant relative of the…

High Energy Physics - Lattice · Physics 2022-12-28 Scott Lawrence , Hyunwoo Oh , Yukari Yamauchi

A number of proposed extensions of the Standard Model include new strongly interacting dynamics, in the form of SU(N) gauge fields coupled to various numbers of fermions. Often, these extensions allow N = 3 as a plausible choice, or even…

High Energy Physics - Phenomenology · Physics 2025-10-09 Thomas DeGrand , Ethan T. Neil

I review recent results and prospects for improvement in calculations of hadronic matrix elements relevant to quark flavour phenomenology. I will focus on key quantities for CKM unitarity triangle analyses and for the study of discrepancies…

High Energy Physics - Phenomenology · Physics 2015-06-15 Elvira Gámiz

We study non-perturbative improvement in SU(3) lattice gauge theory coupled to fermions in the fundamental and two-index symmetric representations. Our lattice action is defined with hypercubic smeared links incorporated into the…

High Energy Physics - Lattice · Physics 2011-06-07 Yigal Shamir , Benjamin Svetitsky , Evgeny Yurkovsky

We review the correspondence between strongly coupled lattice multiflavor Schwinger models and SU(N) antiferromagnetic chains. We show that finding the low lying states of the gauge models is equivalent to solving an SU(N) Heisenberg…

High Energy Physics - Lattice · Physics 2007-05-23 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

We calculate universal finite size scaling functions for the order parameter and the longitudinal susceptibility of the three-dimensional O(4) model. The phase transition of this model is supposed to be in the same universality class as the…

High Energy Physics - Lattice · Physics 2015-06-18 J. Engels , F. Karsch

Schr\"odinger functional, the propagation kernel for going from some field configuration at time $x^0=0$ to some other configuration at $x^0=T$, is used to define a running coupling, $\bar g^2(L)$, at a length scale, $L$, in pure gauge…

High Energy Physics - Lattice · Physics 2007-05-23 Rajamani Narayanan

We show that inconsistency between background field methods, which are relevant for lattice QCD spectroscopy, and effective field theory matching conditions, which are obtained from scattering amplitudes, can be resolved by augmenting…

High Energy Physics - Lattice · Physics 2014-11-05 Jong-Wan Lee , Brian C. Tiburzi

Numerical simulations of full QCD on anisotropic lattices provide a convenient way to study QCD thermodynamics with fixed physics scales and reduced lattice spacing errors. We report results from calculations with two flavors of dynamical…

High Energy Physics - Lattice · Physics 2010-11-15 Ludmila Levkova , Thomas Manke , Robert Mawhinney

We present the current status of a revised strategy to compute the running of renormalized quark masses in QCD with three flavours of massless O(a) improved Wilson quarks. The strategy employed uses the standard finite-size scaling method…

High Energy Physics - Lattice · Physics 2015-08-28 I. Campos , P. Fritzsch , C. Pena , D. Preti , A. Ramos , A. Vladikas

Thermodynamics in the strong coupling limit of lattice QCD has features which may be similar to those of continuum QCD, such as a chiral critical end point and a nuclear liquid gas transition. Here I compare the combinatorics of staggered…

High Energy Physics - Lattice · Physics 2014-11-18 Wolfgang Unger

We present a framework for phenomenological lattice QCD calculations which makes use of a tree level Symanzink improved action for gluons and stout-link Wilson fermions. We give details of our efficient HMC/RHMC algorithm and present a…

High Energy Physics - Lattice · Physics 2009-02-10 S. Durr , Z. Fodor , C. Hoelbling , R. Hoffmann , S. D. Katz , S. Krieg , T. Kurth , L. Lellouch , T. Lippert , K. K. Szabo , G. Vulvert

We discuss a new approach for putting gauge theories on the lattice. The gauge fields are defined on the lattice only, but are interpolated to the interior of the lattice cells, where they couple to continuum fermions. The purpose of this…

High Energy Physics - Lattice · Physics 2007-05-23 Christof Gattringer