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A renormalization-group scheme is developed for the 3-dimensional O($2N$)-symmetric Ginzburg-Landau-Wilson model, which is consistent with the use of a 1/N expansion as a systematic method of approximation. It is motivated by an application…

Statistical Mechanics · Physics 2009-11-07 Ian D. Lawrie , Dominic J. Lee

We introduce a new renormalisation scheme to construct the Landau quasiparticles of Fermi fluids. The scheme relies on an energy cutoff $\Lambda$ which removes the quasi-resonant couplings, enabling the dressing of the particles into…

Quantum Gases · Physics 2025-11-21 Pierre-Louis Taillat , Hadrien Kurkjian

We make an intensive investigation of the soft mode at the quantum chromodynamics (QCD) critical point on the basis of the functional renormalization group (FRG) method in the local potential approximation. We calculate the spectral…

High Energy Physics - Phenomenology · Physics 2016-07-19 Takeru Yokota , Teiji Kunihiro , Kenji Morita

We develop a functional renormalization group approach which describes the low-energy single-particle properties of the Anderson impurity model up to intermediate on-site interactions $U \lesssim 15 \Delta$, where $\Delta$ is the…

Strongly Correlated Electrons · Physics 2009-09-29 Lorenz Bartosch , Hermann Freire , Jose Juan Ramos Cardenas , Peter Kopietz

An approach to QCD vacuum as a medium describable in terms of statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields is reviewed. These fields play the role of the confining medium for color charged…

High Energy Physics - Phenomenology · Physics 2017-04-05 Sergei N. Nedelko , Vladimir E. Voronin

We report here on the application of the perturbative renormalization-group to the Coulomb gauge in QCD. We use it to determine the high-momentum asymptotic form of the instantaneous color-Coulomb potential $V(\vec{k})$ and of the vacuum…

High Energy Physics - Theory · Physics 2010-01-07 Attilio Cucchieri , Daniel Zwanziger

Extending previous QCD Hamiltonian studies, we present a new renormalization procedure which generates an effective Hamiltonian for the gluon sector. The formulation is in the Coulomb gauge where the QCD Hamiltonian is renormalizable and…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. G. Robertson , E. S. Swanson , A. P. Szczepaniak , C. -R. Ji , S. R. Cotanch

We introduce a more general set of kinematic renormalization schemes than the original momentum (MOM) subtraction schemes of Celmaster and Gonsalves. These new schemes will depend on a parameter $\omega$ which tags the external momentum of…

High Energy Physics - Theory · Physics 2018-04-25 J. A. Gracey , R. M. Simms

We apply the subtraction method to an effective QCD-inspired model, which includes the Coulomb plus a zero-range hyperfine interactions, to define a renormalized Hamiltonian for mesons. The spectrum of the renormalized Hamiltonian agrees…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Frederico , M. Frewer , H. -C. Pauli

We have developed a very efficient numerical algorithm of the strong disorder renormalization group method to study the critical behaviour of the random transverse-field Ising model, which is a prototype of random quantum magnets. With this…

Disordered Systems and Neural Networks · Physics 2011-09-21 István A. Kovács , Ferenc Iglói

A simple backreaction problem in quantum mechanics, the full quantum anharmonic oscillator, and quantum parametric resonance are studied using Renormalization Group techniques for global asymptotic analysis. In this short note this…

High Energy Physics - Theory · Physics 2017-02-16 I. L. Egusquiza , M. A. Valle-Basagoiti

We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter $\xi$ in the minimal subtraction scheme of…

High Energy Physics - Phenomenology · Physics 2018-01-24 K. G. Chetyrkin , G. Falcioni , F. Herzog , J. A. M. Vermaseren

Quantum field theory in curved spacetime is perhaps the most reliable framework in which one can investigate quantum effects in the presence of strong gravitational fields. Nevertheless, it is often studied by means of perturbative…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Níckolas de Aguiar Alves

Basing on a self-consistent method, we predict theoretically that there occurs not only a normal (quasi) fermion mode, but also a collective fermion mode, plasmino, in a warm 2D massless Dirac system, especially in a warm intrinsic graphene…

Quantum Gases · Physics 2016-05-30 Daqing Liu , Shuyue Chen , Shengli Zhang , Ning Ma

A general technique is outlined for investigating supersymmetry properties of a charged spin-$\half$ quantum particle in time-varying electromagnetic fields. The case of a time-varying uniform magnetic induction is examined and shown to…

High Energy Physics - Theory · Physics 2009-09-25 V. Alan Kostelecký , V. I. Man'ko , Michael Martin Nieto , D. Rodney Truax

A system of electrons in the two-dimensional honeycomb lattice with Coulomb interactions is described by a renormalizable quantum field theory similar but not equal to QED_3. Renormalization group techniques are used to investigate the…

High Energy Physics - Theory · Physics 2009-10-22 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We review some aspects of the renormalization group method for interacting fermions. Special emphasis is placed on the application of scaling theory to quasi-one-dimensional systems at non zero temperature. We begin by introducing the…

Strongly Correlated Electrons · Physics 2007-05-23 C. Bourbonnais , B. Guay , R. Wortis

For Non-Relativistic QCD the velocity renormalization group correlates the renormalization scales for ultrasoft, potential and soft degrees of freedom. Here we discuss the renormalization of operators by ultrasoft gluons. We show that…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andre H. Hoang , Iain W. Stewart

Nonperturbative QCD is studied with the dual Ginzburg-Landau theory, where color confinement is realized through the dual Higgs mechanism by QCD-monopole condensation. We obtain a general analytic formula for the string tension. A compact…

High Energy Physics - Phenomenology · Physics 2016-11-03 H. Suganuma , H. Ichie , S. Sasaki , H. Toki

We present a tensor-network method for strong-coupling QCD with staggered quarks at nonzero chemical potential. After integrating out the gauge fields at infinite coupling, the partition function can be written as a full contraction of a…

High Energy Physics - Lattice · Physics 2023-02-06 Jacques Bloch , Robert Lohmayer
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