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In this contribution we discuss the Noncommutative Standard Model and the associated Standard Model-forbidden decays that can possibly serve as an experimental signature of space-time noncommutativity.

High Energy Physics - Phenomenology · Physics 2015-06-25 Peter Schupp , Josip Trampetic

We summarize recent results for the phase structure of QCD at finite temperature and light-quark chemical potential for N_f=2+1 and N_f=2+1+1 dynamical quark flavors. We discuss order parameters for the chiral and deconfinement transitions…

High Energy Physics - Phenomenology · Physics 2014-10-02 Christian S. Fischer , Jan Luecker , Christian A. Welzbacher

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term is considered in the framework of chiral perturbation theory. For two and three numbers of quark flavours, respectively, with non-degenerate quark…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster , Tobias Sudmann

We have parameterized the degeneracy factor in terms of temperature and using this we have tried to compare and study the LQCD(Lattice Quantum Chromodynamics) data with our data.

Nuclear Theory · Physics 2020-01-17 Ranjesh Kumar , Ankit Anand , Souvik Paul , Sarthak Satapathy , Sabyasachi Ghosh

The assumption of strong diquark correlations in the QCD spectrum suggests flavor multiplets of hadrons that are degenerate in the chiral limit. Generally it would be unnatural for there to be degeneracy in the hadron spectrum that is not…

High Energy Physics - Phenomenology · Physics 2014-11-17 Silas R. Beane

The order parameters of dynamical chiral symmetry breaking in QCD, the dynamical mass of quarks and the chiral condensates, are evaluated by numerically solving the Non-Perturbative Renormalization Group (NPRG) equations. We employ an…

High Energy Physics - Theory · Physics 2009-10-31 Ken-Ichi Aoki , Kaoru Takagi , Haruhiko Terao , Masashi Tomoyose

Exploiting the recent lattice results for the infrared gluon propagator with light dynamical quarks, we solve the gap equation for the quark propagator. We thus model the chiral symmetry breaking mechanism with increasing number of flavours…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. Bashir , A. Raya , J. Rodríguez-Quintero

Chiral symmetry can be applied to many-body nonleptonic decays of heavy hadrons. We establish the chiral effective Hamiltonian for some typical many-body nonleptonic decays of bottom hadrons. We discuss the lowest-order contributions coming…

High Energy Physics - Phenomenology · Physics 2007-05-23 Q. P. Xu , A. N. Kamal

We present unambiguous evidence from lattice simulations of QCD with three degenerate quark species for two tricritical points in the (T,m) phase diagram at fixed imaginary \mu/T=i\pi/3 mod 2\pi/3, one in the light and one in the heavy mass…

High Energy Physics - Lattice · Physics 2014-11-20 Philippe de Forcrand , Owe Philipsen

We compute invariants of quadratic forms associated to orthogonal hypergeometric groups of degree five. This allows us to determine some commensurabilities between these groups, as well as to say when some thin groups cannot be conjugate to…

Group Theory · Mathematics 2020-03-31 Jitendra Bajpai , Sandip Singh , Scott Thomson

We give a necessary and sufficient condition for the existence of nondegenerate holomorphic mappings between pseudoellipsoidal real hypersurfaces, and provide an explicit parametrization for the collection of all such mappings (in the…

Complex Variables · Mathematics 2016-12-30 Peter Ebenfelt , Duong Ngoc Son

We consider a degenerate system of three Brownian particles undergoing asymmetric collisions. We study the gap process of this system and focus on its invariant measure. The gap process is described as an obliquely reflected degenerate…

Probability · Mathematics 2025-10-03 Thomas Dreyfus , Jules Flin , Sandro Franceschi

In this paper, we provide a necessary and sufficient condition ensuring the property of exponential dichotomy for periodic linear systems of generalized differential equations. This condition allow us to revisit a recent result of…

Classical Analysis and ODEs · Mathematics 2022-08-26 Claudio A. Gallegos , Gonzalo Robledo

We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.

Exactly Solvable and Integrable Systems · Physics 2008-04-24 Yuri Bozhkov

We describe triangle coordinates for integral laminations on a non-orientable surface $N_{k,n}$ of genus $k$ with $n$ punctures and one boundary component, and give an explicit bijection from the set of integral laminations on $N_{k,n}$ to…

Geometric Topology · Mathematics 2017-03-13 S. Öykü Yurttaş , Mehmetcik Pamuk

We discuss the importance of using partially quenched theories with three degenerate quarks for extrapolating to QCD, and present some relevant results from chiral perturbation theory.

High Energy Physics - Lattice · Physics 2015-06-25 S. Sharpe , N. Shoresh

We give a 1993 update of non-compact lattice QED, in particular the chiral condensate, finite size effects and meson mass ratios. We compare descriptions of the phase transition. Our previous conclusions remain valid.

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stueben

In this paper, we consider the problem of representing a multivariate polynomial as the determinant of a definite (monic) symmetric/Hermitian linear matrix polynomial (LMP). Such a polynomial is known as determinantal polynomial.…

Optimization and Control · Mathematics 2018-11-28 Papri Dey

We propose a homogenized filter for multiscale signals, which allows us to reduce the dimension of the system. We prove that the nonlinear filter converges to our homogenized filter with rate $\sqrt{\varepsilon}$. This is achieved by a…

Probability · Mathematics 2013-12-03 Peter Imkeller , N. Sri Namachchivaya , Nicolas Perkowski , Hoong C. Yeong

Critical surfaces are defined by Bachman as topological index 2 surfaces, generalizing incompressible surfaces and strongly irreducible surfaces. In this paper we give a condition to obtain critical Heegaard surfaces by amalgamation. As a…

Geometric Topology · Mathematics 2011-09-20 Jung Hoon Lee