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We investigate the combination of a two-level sampling algorithm with distillation techniques to compute disconnected fermionic correlation functions. The method relies on a factorization of the quark propagator into domain-local…

High Energy Physics - Lattice · Physics 2025-12-12 Lorenzo Barca , Jacob Finkenrath , Stefan Schaefer

We present the analytical $\alpha_{s}^3$ correction to the $Z^{0}$ decay rate into hadrons. We calculate this correction up to (and including) terms of the order $(m_Z^2/m_{top}^2)^3$ in the large top quark mass expansion. We rely on the…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. A. Larin , T. van Ritbergen , J. A. M. Vermaseren

Previous work has shown that mesonic fields in chiral Lagrangians can be systematically connected to quark-level operators in QCD sum rules through chiral-symmetry constrained and energy-independent scale factor matrices. This framework…

High Energy Physics - Phenomenology · Physics 2025-11-04 J. Ho , Amir H. Fariborz , T. G. Steele

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

2-color QCD (quantum chromodynamics with N_c=2) at finite temperature T and chemical potential \mu is revisited in the strong coupling limit on the lattice with staggered fermions. The phase structure in the space of T, \mu, and the quark…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yusuke Nishida , Kenji Fukushima , Tetsuo Hatsuda

We study lattice two-color QCD (QC$_2$D) with two flavors of staggered fermions at imaginary and real quark chemical potential $\mu_q$ and $T>T_c$. We employ various methods of extrapolation of the quark number density from imaginary to…

High Energy Physics - Lattice · Physics 2024-12-16 A. Begun , V. G. Bornyakov , N. V. Gerasimeniuk , V. A. Goy , A. Nakamura , R. N. Rogalyov

We derive a (Wilsonian) effective field theory of QCD at finite density by integrating out the states in the Dirac sea when the chemical potential $\mu\gg\Lambda_{\rm QCD}$. The quark-gluon coupling is effectively (1+1)-dimensional and the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Deog Ki Hong

QCD is constructed as a lattice gauge theory in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. The resulting quantum link model for QCD is formulated with a fifth Euclidean…

High Energy Physics - Theory · Physics 2016-08-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

With the help of the Mellin-Barnes transform, we show how to simultaneously resum the expansion of a heavy-quark correlator around q^2=0 (low-energy), q^2= 4 m^2 (threshold, where m is the quark mass) and q^2=-\infty (high-energy) in a…

High Energy Physics - Phenomenology · Physics 2011-01-17 D. Greynat , S. Peris

We generalize the notion of an asymptotic weak coupling expansion about an exactly solvable model in quantum mechanics and quantum field theory to an all positive value coupling convergent expansion. This is done by rescaling the variables…

High Energy Physics - Theory · Physics 2019-03-08 Erfan Shalchian

We formulate the path integral of two- and three-flavor Wilson fermion in two dimensions as a multilayer Grassmann tensor network by the matrix product decomposition. Thanks to this new description, the memory cost scaling is reduced from…

High Energy Physics - Lattice · Physics 2023-09-04 Shinichiro Akiyama

We propose a systematic approach to the systems of correlated electrons, the so-called $\mathbf{k}$-DE-GWF method, based on reciprocal-space ($\mathbf{k}$-resolved) diagrammatic expansion of the variational Gutzwiller-type wave function for…

Strongly Correlated Electrons · Physics 2020-08-06 M. Fidrysiak , M. Zegrodnik , J. Spałek

We construct a tensor network representation of the partition function for the massless Schwinger model on a two dimensional lattice using staggered fermions. The tensor network representation allows us to include a topological term. Using…

High Energy Physics - Lattice · Physics 2020-06-24 Nouman Butt , Simon Catterall , Yannick Meurice , Judah Unmuth-Yockey

Two dimensional QCD is bosonized to be an integrably deformed Wess-Zumino-Witten model under proper limit. Fermions are identified having indices of the Grassmann manifold. Conditions for integrability are analyzed and their physical…

High Energy Physics - Theory · Physics 2009-10-30 KyoungHo Han , H. J. Shin

We apply QCD-inspired techniques to study nonrelativistic N-component degenerate fermions with attractive interactions. By analyzing the singular-value spectrum of the fermion matrix in the Lagrangian, we derive several exact relations that…

Quantum Gases · Physics 2016-04-12 Takuya Kanazawa , Arata Yamamoto

This is an introduction to the use of nonperturbative flow equations in strong interaction physics at nonzero temperature and baryon density. We investigate the QCD phase diagram as a function of temperature, chemical potential for baryon…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

Numerical Stochastic Perturbation Theory (NSPT) allows for perturbative computations in quantum field theory. We present an implementation of NSPT that yields results for high orders in the perturbative expansion of lattice gauge theories…

High Energy Physics - Lattice · Physics 2018-11-27 Luigi Del Debbio , Francesco Di Renzo , Gianluca Filaci

The gauge invariant two-point correlator for the gluon field strength tensor in analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Eidemuller , H. G. Dosch , M. Jamin

Meson transition amplitudes of the vector, axial-vector, and tensor quark currents are analyzed within dispersion formulation of the constituent quark model. The form factors in the decay region are given by relativistic double spectral…

High Energy Physics - Phenomenology · Physics 2009-10-30 Dmitri Melikhov

We have extended the perturbative expansion method around the Gaussian effective action to the fermionic field theory, by taking the 2-dimensional Gross-Neveu model as an example. We have computed both the zero temperature and the finite…

High Energy Physics - Theory · Physics 2016-08-25 Geon Hyoung Lee , Tack Hwi Lee , Jae Hyung Yee
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