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The derivation of effective macroscopic theories approximating microscopic systems of interacting particles is a major question in non-equilibrium statistical mechanics. In these notes we present an approximation of systems made by many…

Mathematical Physics · Physics 2023-07-18 Chiara Saffirio

We formulate a low-energy theory for the magnetic interactions between electrons in the multi-band Hubbard model under non-equilibrium conditions determined by an external time-dependent electric field which simulates laser-induced spin…

Strongly Correlated Electrons · Physics 2013-04-11 Andrea Secchi , Sergei Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

We construct a low-energy effective field theory that permits the complete treatment of isospin-breaking effects in nonleptonic weak interactions to next-to-leading order. To this end, we enlarge the chiral Lagrangian describing strong and…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Ecker , G. Isidori , G. Mueller , H. Neufeld , A. Pich

We present the perturbation theory for lattice magnon fields of $D$-dimensional O(3) Heisenberg ferromagnet. The effective Hamiltonian for the lattice magnon fields is obtained starting from the effective Lagrangian, with two dominant…

Strongly Correlated Electrons · Physics 2013-10-15 Slobodan M. Radosevic , Milan R. Pantic , Milica V. Pavkov-Hrvojevic , Darko V. Kapor

The all-to-all momentum coupling of the Hubbard interaction makes interacting lattice models generically unsolvable. In many settings, however, from Peierls instabilities to Moir\'e superlattice physics, the low-energy behavior is dominated…

Strongly Correlated Electrons · Physics 2026-04-09 Dmitry Manning-Coe , Barry Bradlyn

We study the integrable model of one-dimensional bosons with contact repulsion. In the limit of weak interaction, we use the microscopic hydrodynamic theory to obtain the excitation spectrum. The statistics of quasiparticles changes with…

Quantum Gases · Physics 2014-07-04 Zoran Ristivojevic

We study the equation of state for symmetric nuclear matter using a ring-diagram approach in which the particle-particle hole-hole ($pphh$) ring diagrams within a momentum model space of decimation scale $\Lambda$ are summed to all orders.…

Nuclear Theory · Physics 2009-08-03 L. -W. Siu , J. W. Holt , T. T. S. Kuo , G. E. Brown

We consider, as a simple model problem, the application of Virtual Element Methods (VEM) to the linear Magnetostatic three-dimensional problem in the formulation of F. Kikuchi. In doing so, we also introduce new serendipity VEM spaces,…

Numerical Analysis · Mathematics 2018-04-30 L. Beirão da Veiga , F. Brezzi , F. Dassi , L. D. Marini , A. Russo

We consider a local effective model for fermionic low lying excitations in a metal. Introducing a boson auxiliary field and taking into account that the most significant interactions between quasiparticles arise for those which are near a…

Strongly Correlated Electrons · Physics 2008-02-03 A. Ferraz , S. L. Garavelli , T. Saikawa

The functional renormalization group has become a widely used tool for the analysis of the leading low-temperature correlations in weakly to moderately coupled many-fermion lattice systems. A bottleneck for quantitatively more precise…

Strongly Correlated Electrons · Physics 2018-08-15 Timo Reckling , Carsten Honerkamp

A nonperturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson flow to eliminate divergent contact terms makes it a practical method for…

Based on the leading-order covariant pionless effective field theory, a relativistic nuclear Hamiltonian is derived and solved using the variational Monte Carlo approach for $A\le 4$ nuclei by representing the nuclear many-body wave…

Nuclear Theory · Physics 2022-11-24 Y. L. Yang , P. W. Zhao

We investigate possible renormalization effects on the low-energy mass spectrum of the minimal supersymmetric standard model (MSSM), using a calculable model of strongly coupled hidden sector. We model the hidden sector by N=2…

High Energy Physics - Phenomenology · Physics 2015-03-17 Masato Arai , Shinsuke Kawai , Nobuchika Okada

We construct a low-energy effective Lagrangian describing zero-temperature supersolids. Galilean invariance imposes strict constraints on the form of the effective Lagrangian. We identify a topological term in the Lagrangian that couples…

Other Condensed Matter · Physics 2007-05-23 D. T. Son

We consider here the problem of a "giant spin", with spin quantum number S>>1, interacting with a set of microscopic spins. Interactions between the microscopic spins are ignored. This model describes the low-energy properties of magnetic…

Condensed Matter · Physics 2015-06-25 I. S. Tupitsyn , N. V. Prokof'ev , P. C. E. Stamp

A method for computing low--temperature series for renormalized operators in the two--dimensional Ising model is proposed. These series are applied to the study of the properties of the truncated renormalized Hamiltonians when we start at…

High Energy Physics - Lattice · Physics 2009-10-22 J. Salas

We calculate thermodynamic properties of soft-core lattice bosons with on-site $n$-body interactions using up to twelfth and tenth order strong coupling expansion in one and two dimensional cubic lattices at zero temperature. Using linked…

Quantum Gases · Physics 2014-08-27 Vipin Kerala Varma , Hartmut Monien

We obtain a Quantum Electrodynamics in 2+1 dimensions by applying a Kaluza--Klein type method of dimensional reduction to Quantum Electrodynamics in 3+1 dimensions rendering the model more realistic to application in solid-state systems,…

High Energy Physics - Theory · Physics 2007-05-23 E. Abdalla , F. M. de Carvalho Filho

We use quantum sine-Gordon model to describe the low energy dynamics of a pair of coupled one-dimensional condensates of interacting atoms. We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes…

Other Condensed Matter · Physics 2007-05-23 Vladimir Gritsev , Anatoli Polkovnikov , Eugene Demler

Coupling constants for the most relevant terms in the low energy effective Hamiltonian of the XXZ spin chain are derived. Using this result we study the low energy (low temperature, weak magnetic field) thermodynamics, finite size effects…

Condensed Matter · Physics 2009-10-30 S. Lukyanov