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Related papers: Finite Size Effects in Nucleon Masses in Dynamical…

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Using lattice simulations of quenched QCD we estimate the finite size effects present when a gluon plasma equilibrates in a slab geometry, i.e., finite width but large transverse dimensions. Significant differences are observed in the free…

High Energy Physics - Lattice · Physics 2009-10-31 Andy Gopie , Michael C. Ogilvie

We present a determination of the shift $M_\pi(L)-M_\pi$ due to the finite spatial box size $L$ by means of $N_f=2$ Chiral Perturbation Theory and L\"uscher's formula. The range of applicability of the chiral prediction is discussed.

High Energy Physics - Lattice · Physics 2009-11-07 G. Colangelo , S. Dürr , R. Sommer

We investigate the quark mass dependence of the nucleon mass M_N. An interpolation of this observable, between a selected set of fully dynamical two-flavor lattice QCD data and its physical value, is studied using relativistic baryon chiral…

High Energy Physics - Lattice · Physics 2009-11-10 M. Procura , T. R. Hemmert , W. Weise

Using lattice simulations of quenched QCD we estimate the finite size effects present when a gluon plasma equilibrates in a slab geometry, i.e., finite width but large transverse dimensions. Significant differences are observed in the free…

High Energy Physics - Lattice · Physics 2009-10-31 Andy Gopie , Michael C. Ogilvie

We study finite volume effects within the Polyakov loop Nambu-Jona-Lasinio model for two light and one heavy quarks at vanishing baryon chemical potential and finite temperatures. We include three different Polyakov loop potentials and…

High Energy Physics - Phenomenology · Physics 2018-08-24 A. G. Grunfeld , G. Lugones

We report on the MILC Collaboration calculation of electromagnetic effects on light pseudoscalar mesons. The simulations employ asqtad staggered dynamical quarks in QCD plus quenched photons, with lattice spacings varying from 0.12 to 0.06…

We explore sea quark effects in the light hadron mass spectrum in a simulation of two-flavor QCD using the nonperturbatively O(a)-improved Wilson fermion action. In order to identify finite-size effects, light meson masses are measured on…

We discuss the finite-size effects on the chiral phase transition in QCD. We employ the Nambu-Jona-Lasinio model and calculate the thermodynamic potential in the mean-field approximation. Finite-size effects on the thermodynamic potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Kiriyama , T. Kodama , T. Koide

We apply the resummed version of the L\"uscher formula to analyze finite volume corrections to the mass of the nucleon and of heavy mesons. We show that by applying the subthreshold expansion of the scattering amplitudes one can express the…

High Energy Physics - Lattice · Physics 2015-03-17 Gilberto Colangelo , Andreas Fuhrer , Stefan Lanz

Finite-volume effects in Quantum Chromodynamics (QCD) have been a subject of much theoretical interest for more than two decades. They are in particular important for the analysis and interpretation of QCD simulations on a finite, discrete…

High Energy Physics - Phenomenology · Physics 2017-10-17 Bertram Klein

The electromagnetic form factors provide important insight into the internal structure of the nucleon and continue to be of major interest for experiment and phenomenology. For an intermediate range of momenta the form factors can be…

We use Chiral Perturbation Theory to compute the nucleon mass-shift due to finite volume and temperature effects. Our results are valid up to next-to-leading order in the "\eps-regime" (mL ~ m\beta << 1) as well as in the "p-regime" (mL ~…

High Energy Physics - Lattice · Physics 2009-11-10 Paulo F. Bedaque , Harald W. Griesshammer , Gautam Rupak

Lattice regularization is used to perform chiral perturbation theory calculations in finite volume. The lattice spacing is chosen small enough to be irrelevant, and numerical results are obtained from simple summations.

High Energy Physics - Lattice · Physics 2009-11-10 Bugra Borasoy , Randy Lewis , Daniel Mazur

We consider a model of chiral phase transitions in nuclei, suggested by T.D. Lee et al., and argue that such transitions may be seen in cumulative effect investigations. Finite-range effects arising from the smallness of the system are…

High Energy Physics - Phenomenology · Physics 2010-08-30 B. F. Kostenko , J. Pribis

In our previous DWF calculation with the Wilson gauge action at $\beta=6.0$ ($a^{-1}\simeq$ 1.9 GeV) on a $16^3 \times 32 \times 16$ lattice, we found that $\Ga$ had a fairly strong dependence on the quark mass. A simple linear…

High Energy Physics - Lattice · Physics 2007-05-23 Shoichi Sasaki , Tom Blum , Shigemi Ohta , Kostas Orginos

An effective model is introduced to illustrate finite volume effects beyond the usual momentum space constraints. The fluctuations of the chiral order parameter and the net baryon number, as well as their scaling properties, are…

High Energy Physics - Phenomenology · Physics 2025-10-29 Győző Kovács , Pok Man Lo , Krzysztof Redlich , Chihiro Sasaki

We present the first step towards the estimation of finite volume effects in heavy-light meson systems using heavy meson chiral perturbation theory. We demonstrate that these effects can be amplified in both light-quark and heavy-quark mass…

High Energy Physics - Lattice · Physics 2008-11-26 C. -J. David Lin

We investigate the impact of finite volume effects on the critical number of flavours, N_f^c, for chiral symmetry restoration in QED3. To this end we solve a set of coupled Dyson-Schwinger equations on a torus. For order parameters such as…

High Energy Physics - Phenomenology · Physics 2009-04-08 Tobias Goecke , Christian S. Fischer , Richard Williams

The effect of the finite system size on the QCD phase diagram was studied with various momentum space constraints within a mean-field quark-meson model. On the one hand side, the choice of the scenario -- low-momentum cutoff and…

High Energy Physics - Phenomenology · Physics 2025-04-25 Győző Kovács

Using lattice simulations of quenched QCD we estimate the finite size effects present when a gluon plasma equilibrates in a slab geometry, i.e., finite width but large transverse dimensions. Significant differences are observed in the free…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andy Gopie , Michael C. Ogilvie