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I review the current status of lattice Monte-Carlo computations of the equation of state of QCD, our current understanding of the thermalization process at collider energies, and two new theoretical developments, one pertaining to the…

Nuclear Theory · Physics 2008-02-03 Berndt Muller

I present recent results from lattice simulations of SU(2) gauge theory with Nf=2 Wilson quark flavors, at non-zero quark chemical potential. The thermodynamic equation of state is discussed along with the nature of the high density matter…

High Energy Physics - Lattice · Physics 2015-06-11 Simon Hands , Seamus Cotter , Pietro Giudice , Jon-Ivar Skullerud

Our purpose is to calculate relativistic bound states in a quantum filed theoretical approach. We work in the Yukawa model and first calculate the bound-state equation in the ladder approximation. We discuss why this is not a complete…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. van Iersel , B. L. G. Bakker

We discuss how LHC di-muon data collected to study $B_q \to \mu\mu$ can be used to constrain light particles with flavour-violating couplings to $b$-quarks. Focussing on the case of a flavoured QCD axion, $a$, we compute the decay rates for…

High Energy Physics - Phenomenology · Physics 2021-09-29 Johannes Albrecht , Emmanuel Stamou , Robert Ziegler , Roman Zwicky

After a very brief overview recollecting the `classic' parts of QCD, that is its application to describe hard processes and static properties of hadrons, I survey recent work -- some very recent -- on QCD at non-zero temperature and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Frank Wilczek

The Schwinger-Dyson quark equation (SDE) combined with results from lattice simulation for the propagators are used to obtain information on the quark-gluon vertex, taking into account the recent full QCD lattice results for the soft-gluon…

High Energy Physics - Phenomenology · Physics 2020-06-11 Orlando Oliveira , Tobias Frederico , Wayne de Paula

The center phase transition of QCD and of fundamentally charged scalar QCD at non-vanishing temperature is investigated within a Dyson-Schwinger approach. The temperature dependence of the scalar/quark propagator is studied with generalized…

High Energy Physics - Phenomenology · Physics 2012-12-19 Markus Hopfer , Mario Mitter , Bernd-Jochen Schaefer , Reinhard Alkofer

After introducing essential, qualitative concepts and results, we discuss the application of Dyson-Schwinger equations to QCD at finite T and mu. We summarise the calculation of the critical exponents of two-light-flavour QCD using the…

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

We systematically develop the formalism necessary for ensuring that boundary conditions of flavon fields in extra dimensions are consistent with heterotic string theory. Having developed a set of consistency conditions on the boundary…

High Energy Physics - Phenomenology · Physics 2019-12-12 Francisco J. de Anda , Stephen F. King , Elena Perdomo , Patrick K. S. Vaudrevange

Truncated Dyson-Schwinger equations represent finite subsets of the equations of motion for Green's functions. Solutions to these non-linear integral equations can account for non-perturbative correlations. A closed set of coupled…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andreas Hauck , Lorenz von Smekal , Reinhard Alkofer

We search for possibly existent bound states in the heavy-light tetraquark channels with quark content $ \bar{b}\bar{b}ud $, $ \bar{b}\bar{b}us $ and $ \bar{b}\bar{c}ud $ using lattice QCD. We carry out calculations on several gauge link…

High Energy Physics - Lattice · Physics 2020-09-23 Martin Pflaumer , Luka Leskovec , Stefan Meinel , Marc Wagner

We construct a general Ansatz for the three-particle vertex describing the interaction of one background and two quantum gluons, by simultaneously solving the Ward and Slavnov-Taylor identities it satisfies. This vertex is known to be…

High Energy Physics - Phenomenology · Physics 2015-03-19 Daniele Binosi , Joannis Papavassiliou

Gribov's theory of light quark confinement implies the existence of two kinds of scalar bound states. The phase diagram of the three-flavor QCD is mapped out in the (m_pi-m_K)-plane with help of the SU_L(3)xSU_R(3) linear sigma model…

High Energy Physics - Phenomenology · Physics 2017-08-23 T. Herpay , A. Patkos , Zs. Szep

We propose to search for the open heavy-flavor exotic states with the quark components of $Qs\bar u\bar d$ with $Q=b,c$ via their weak decays. If there exist such exotic states below the $BK$ or $DK$ thresholds, they can only decay weakly.…

High Energy Physics - Phenomenology · Physics 2022-07-28 Fu-Sheng Yu

Certain complex-contour (a.k.a. quantum-toboggan) generalizations of Schroedinger's bound-state problem are reviewed and studied in detail. Our key message is that the practical numerical solution of these atypical eigenvalue problems may…

Mathematical Physics · Physics 2011-02-15 Miloslav Znojil

We describe the application of Dyson-Schwinger equations to the calculation of hadron observables. The studies at zero temperature (T) and quark chemical potential (mu) provide a springboard for the extension to finite-(T,mu). Our exemplars…

Nuclear Theory · Physics 2007-05-23 Pieter Maris , Craig D. Roberts

In this short note we survey theorems and provide conjectures on gluing constructions under lower curvature bounds in smooth and non-smooth context. Focusing on synthetic lower Ricci curvature bounds we consider Riemannian manifolds,…

Differential Geometry · Mathematics 2024-08-26 Christian Ketterer

Motivated by the recently observation of the tetraquark $T_{cc}^+ $ state, in this work I revisit the Heavy-Meson Effective Theory to perform a simplified field-theoretical study of possible deuteron-like $D^{(\ast)} D ^{(\ast)},…

High Energy Physics - Phenomenology · Physics 2022-11-01 Luciano M. Abreu

In this paper we introduce a simple renormalizable model of an extended color gauge sector in which the third-generation quarks couple differently than the lighter quarks. In addition to a set of heavy color-octet vector bosons (colorons),…

High Energy Physics - Phenomenology · Physics 2013-04-10 R. Sekhar Chivukula , Elizabeth H. Simmons , Natascia Vignaroli

We review the theoretical and experimental situation for long-lived heavy quarks, or bound states thereof, arising in simple extensions of the Standard Model. If these particles propagate large distances before their decay, they give rise…

High Energy Physics - Phenomenology · Physics 2013-04-08 Mathieu Buchkremer , Alexander Schmidt