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Quantum chromodynamics (QCD) reduces the strong interactions, in all their variety, to a simple nonabelian gauge theory. It clearly and elegantly explains hadrons at short distances, which has led to its universal acceptance. Since its…

High Energy Physics - Lattice · Physics 2012-11-13 Andreas S. Kronfeld

It is well known that effective potentials can be gauge-dependent while their values at extrema should be gauge-invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from…

High Energy Physics - Phenomenology · Physics 2015-06-22 Anders Andreassen , William Frost , Matthew D. Schwartz

We report results of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action, employing the Reguralization Independent scheme (RI) of Martinelli et al. to non-perturbatively evaluate the renormalization factor relating…

In the limit of an infinite number of colors, we derive an analytic expression for the quark condensate in $QCD_{1+1}$ as a function of the quark mass and the gauge coupling constant. For zero quark mass, a nonvanishing quark condensate is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthias Burkardt

Infrared divergences in the perturbative expansion of gauge theory amplitudes and cross sections have been a focus of theoretical investigations for almost a century. New insights still continue to emerge, as higher perturbative orders are…

High Energy Physics - Phenomenology · Physics 2021-12-16 Neelima Agarwal , Lorenzo Magnea , Chiara Signorile-Signorile , Anurag Tripathi

Thermodynamic properties of the QCD nonperturbative vacuum with two light quarks are studied. It is shown that at low temperatures T<M_\pi relativistic massive pions can be treated within the dilute gas approximation. Analytic temperature…

High Energy Physics - Phenomenology · Physics 2014-11-17 N. O. Agasian

Recent calculations of heavy quark cross sections near threshold at next-to-next-to-leading order have found second-order corrections as large as first-order ones. We analyse long-distance contributions to the heavy quark potential in…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Beneke

It is known that the short distance QCD contribution to the mass difference of pions is quadratic on the quark masses, and irrelevant with respect to the long distance part. It is also considered in the literature that its calculation…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Natale

The structure of the quark propagator in momentum space is explored taking into account non-perturbative QCD dynamics constraints for the quark spectral densities derived previously. We assume that the scalar and vector component of the…

High Energy Physics - Phenomenology · Physics 2025-02-26 O. Oliveira , T. Frederico , W. de Paula

We give an outline of a recent proof that the low-energy effective gauge theory exhibiting quark confinement due to magnetic monopole condensation can be derived from QCD without any specific assumption. We emphasize that the low-energy…

High Energy Physics - Theory · Physics 2008-11-26 Kei-Ichi Kondo

The renormalization factor relating the bare to the renormalization group invariant quark masses is accurately calculated in quenched lattice QCD using a recursive finite-size technique. The result is presented in the form of a product of a…

High Energy Physics - Lattice · Physics 2009-10-31 Stefano Capitani , Martin Lüscher , Rainer Sommer , Hartmut Wittig

A recent QCD formulation that is non-perturbative, finite, gauge-invariant, exact emerged from Schwinger's Generating Functional. A first test of the validity of this formulation is provided here against elastic proton-proton scattering at…

High Energy Physics - Phenomenology · Physics 2018-08-01 Peter H. Tsang

The concept of perturbative gauge invariance formulated exclusively by means of asymptotic fields is generalized to massive gauge fields. Applying it to the electroweak theory leads to a complete fixing of couplings of scalar and ghost…

High Energy Physics - Theory · Physics 2008-02-03 Michael Dutsch , Gunter Scharf

The phase structure of zero temperature twisted mass lattice QCD is investigated. We find strong metastabilities in the plaquette observable when the untwisted quark mass sweeps across zero.

High Energy Physics - Lattice · Physics 2009-11-10 F. Farchioni , C. Urbach , R. Frezzotti , K. Jansen , I. Montvay , G. C. Rossi , E. E. Scholz , A. Shindler , N. Ukita , I. Wetzorke

The infamous strong CP problem in particle physics can in principle be solved by a massless up quark. In particular, it was hypothesized that topological effects could substantially contribute to the observed nonzero up-quark mass without…

High Energy Physics - Lattice · Physics 2021-03-02 Constantia Alexandrou , Jacob Finkenrath , Lena Funcke , Karl Jansen , Bartosz Kostrzewa , Ferenc Pittler , Carsten Urbach

Aiming at the relation between QCD and the quark model, we consider projections of gauge configurations generated in quenched lattice QCD simulations in the Coulomb gauge on a 16$^{\rm 3}$ $\rm \times$ 32, $\rm \beta$ = 6.0 lattice. First,…

High Energy Physics - Lattice · Physics 2024-05-08 Hiroki Ohata , Hideo Suganuma

From the hypothesis of a quadratic dependence of the binding energy of the quarks on the length scale and from the idea of a universal running coupling constant, we get the closure mass of the Universe and the pion mass. Besides this, we…

General Physics · Physics 2007-05-23 H. C. G. Caldas , P. R. Silva

A set of four Finite Energy QCD sum rules are used to determine the magnetic field dependence of the sum of the up- and down-quark masses of QCD, $(m_u + m_d)$, the pion decay constant $f_\pi$, the pion mass $m_\pi$, the gluon condensate,…

High Energy Physics - Phenomenology · Physics 2018-10-30 C. A. Dominguez , M. Loewe , Cristian Villavicencio

I discuss a scheme to match perturbative and non-perturbative physics with power accuracy in the heavy-quark effective theory. I elaborate on two important aspects of the scheme: 1) a multi-loop subtraction of soft contributions from the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

Nonperturbative QCD approach is systematically derived starting from the QCD Lagrangian. Treating spin effects as a perturbation, one obtains the universal effective Hamiltonian describing mesons, hybrids and glueballs. Constituent mass of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. A. Simonov
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