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Related papers: Low-Energy QCD in the Delta Regime

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In the past year domain wall fermion simulations have moved from exploratory stages to the point where systematic effects can be studied with different gauge couplings, volumes, and lengths in the fifth dimension. Results are presented here…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate

Using a chiral random matrix theory we can now derive the low energy partition functions and Dirac eigenvalue correlations of QCD with different chemical potentials for the dynamical and valence quarks. The results can also be extended to…

High Energy Physics - Lattice · Physics 2008-11-26 James C. Osborn

We consider chiral perturbation theory in a finite volume and in a mixed regime of quark masses. We take N_l light quarks near the chiral limit, in the so-called epsilon-regime, while the remaining N_h quarks are heavier and in the standard…

High Energy Physics - Lattice · Physics 2009-11-18 F. Bernardoni , P. H. Damgaard , H. Fukaya , P. Hernández

Determining the type of excitations that can exist in a thermal medium is key to understanding how hadronic matter behaves at extreme temperatures. In this work we study this question for pseudo-scalar mesons comprised of light-strange and…

High Energy Physics - Lattice · Physics 2024-06-04 Dibyendu Bala , Olaf Kaczmarek , Peter Lowdon , Owe Philipsen , Tristan Ueding

This work constitutes one part of an investigation of the low-temperature changes of the properties of the eta' meson. In turn these properties are strongly tied to the U(1)_A anomaly of Quantum Chromodynamics. The final aim is to explore…

High Energy Physics - Phenomenology · Physics 2016-04-20 E. Perotti , C. Niblaeus , S. Leupold

Non-compact QED3 is simulated both in the quenched and unquenched cases. In particular, we investigate the restoration of chiral symmetry at finite temperature. We also compute the zero temperature spectrum of the theory, including (in the…

High Energy Physics - Lattice · Physics 2009-10-22 J. B. Kogut , J. -F. Lagae

I review some basic facts about the chiral limit of QCD. This allows to formulate an effective field theory below the chiral symmetry breaking scale, chiral perturbation theory (CHPT). I show that for threshold reactions, the spectrum of…

High Energy Physics - Phenomenology · Physics 2008-02-03 Ulf-G. Meißner

We simulate Lattice QED in a constant external magnetic field using the RHMC algorithm. We seek evidence for chiral symmetry breaking predicted by truncated Schwinger-Dyson methods. Since the predicted values of the dynamical electron mass…

High Energy Physics - Lattice · Physics 2022-10-21 D. K. Sinclair , J. B. Kogut

The imposition of Dirichlet boundary conditions in lattice computations obstructs the formation of a chiral condensate. We use chiral perturbation theory and meson models to address the effect of a Dirichlet boundary on chiral symmetry…

High Energy Physics - Lattice · Physics 2013-08-13 Brian C. Tiburzi

We investigate the low-temperature phase of QCD and the crossover region with two light flavors of quarks. The chiral expansion around the point $(T, m_q = 0)$ in the temperature vs. quark-mass plane indicates that a sharp real-time…

High Energy Physics - Lattice · Physics 2014-10-23 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Daniel Robaina

We report on a study of the finite-temperature QCD transition region for temperatures between 139 and 196 MeV, with a pion mass of 200 MeV and two space-time volumes: $24^3\times8$ and $32^3\times8$, where the larger volume varies in linear…

We review the application of random matrix theory (RMT) to chiral symmetry in QCD. Starting from the general philosophy of RMT we introduce a chiral random matrix model with the global symmetries of QCD. Exact results are obtained for…

High Energy Physics - Lattice · Physics 2016-09-01 J. J. M. Verbaarschot

A recently proposed strategy to quantify the role of the charm quark mass in the $\Delta I=1/2$ rule is reviewed. Results for the low-energy couplings of the $\Delta S=1$ chiral effective Hamiltonian in a theory with a light charm quark…

High Energy Physics - Lattice · Physics 2008-11-26 P. Hernandez

We investigate the low-temperature phase of QCD and the crossover region with two light flavors of quarks. The chiral expansion around the point $(T,m=0)$ in the temperature vs. quark-mass plane indicates that a sharp real-time excitation…

High Energy Physics - Lattice · Physics 2014-10-08 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Daniel Robaina

These lecture notes illustrate the application of Dyson-Schwinger equations in QCD. The extensive body of work at zero temperature and chemical potential is represented by a selection of contemporary studies that focus on solving the…

Nuclear Theory · Physics 2010-03-04 Craig D. Roberts

I summarize two recent applications of chiral perturbation theory to electromagnetic reactions on deuterium: elastic electron-deuteron scattering, and Compton scattering on deuterium. Both calculations have now been carried out to three…

Nuclear Theory · Physics 2009-11-11 Daniel R. Phillips

We derive a low-energy quantum field theory from quantum chromodynamics (QCD) that holds in the limit of a very large coupling. All the parameters of the bare theory are fixed through QCD. Low-energy limit is obtained through a mapping…

High Energy Physics - Phenomenology · Physics 2010-07-30 Marco Frasca

We study the low temperature limit of lattice QCD by using a reduction formula for a fermion determinant. The reduction formula, which is useful in finite density lattice QCD simulations, contains a reduced matrix defined as the product of…

High Energy Physics - Lattice · Physics 2012-12-04 K. Nagata , A. Nakamura , S. Motoki

Within the framework of Dyson--Schwinger equations of QCD, we study the effect of finite volume on the chiral phase transition in a sphere with the MIT boundary condition. We find that the chiral quark condensate $\langle\bar{\psi}…

Nuclear Theory · Physics 2021-01-04 Yin-Zhen Xu , Chao Shi , Xiao-Tao He , Hong-Shi Zong

We model the effects of a large number of zero and near-zero modes in the QCD partition function by using sparse chiral matrix models with an emphasis on the quenched topological susceptibility in the choice of the measure. At finite…

High Energy Physics - Lattice · Physics 2009-10-31 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed
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