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We develop a new method that allows us to map models of interacting fermions onto bosonic models describing collective excitations in an arbitrary dimension. This mapping becomes exact in the thermodynamic continuous time limit. The boson…

Strongly Correlated Electrons · Physics 2015-05-14 K. B. Efetov , C. Pépin , H. Meier

Accurate solution of the many-electron problem including correlations remains intractable except for few-electron systems. Describing interacting electrons as a superposition of independent electron configurations results in an apparent…

Computational Physics · Physics 2024-02-20 J. C. Greer

We present a minimal non-Hermitian model where a topologically nontrivial complex energy spectrum is induced by inter-particle interactions. Our model consists of a one-dimensional chain with a dynamical non-Hermitian gauge field with…

Quantum Physics · Physics 2023-03-23 William N Faugno , Tomoki Ozawa

Electrons, holes, and photons in semiconductors are interacting fermions and bosons. In this system, a variety of ordered coherent phases can be formed through the spontaneous phase symmetry breaking because of their interactions. The…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Makoto Yamaguchi , Ryota Nii , Kenji Kamide , Tetsuo Ogawa , Yoshihisa Yamamoto

Based on the most general principles of reality, gauge and reparametrization invariance, a problem of constructing the action describing dynamics of a classical color-charged particle interacting with background non-Abelian gauge and…

High Energy Physics - Theory · Physics 2014-11-20 Yuri A. Markov , Margaret A. Markova , Alexey A. Shishmarev

We discuss the relationship between the graphical amplitudes T, C, P, ... used to parameterize nonleptonic B decay amplitudes, and matrix elements of operators in the soft-collinear effective theory (SCET) at leading order in \Lambda/m_b.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Christian W. Bauer , Dan Pirjol

We extend our previous work on scattering amplitudes [1] to hadron collisions. We provide a general formalism for the computation of eikonal amplitudes squared for the radiation of soft and energy-ordered gluons off three hard-legs at…

High Energy Physics - Phenomenology · Physics 2020-09-15 Kamel Khelifa-Kerfa , Yazid Delenda

We compare different non-perturbative methods for calculating the effective action for fermionic systems featuring bosonic bound states (BBS) and spontaneous symmetry breaking (SSB). In a purely fermionic language proceeding into the SSB…

High Energy Physics - Phenomenology · Physics 2007-05-23 Joerg Jaeckel

The amplitude for 4 interacting reggeized gluons is studied in the high-colour limit. The leading order amplitude is explicitly shown to reduce to a pair of reggeons, i.e to a single BFKL pomeron. The next-to-leading order diffractive…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Braun

We study the effects of electron correlation on transport through an interacting region connected to multi-mode leads based on the perturbation expansion with respect to the inter-electron interaction. At zero temperature the conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yoshihide Tanaka , Akira Oguri , Hiroumi Ishii

We perform a complete next-to-leading order calculation of the non-Abelian electric field correlator in a SU($N_c$) plasma, which encodes properties of the plasma relevant for heavy particle bound state formation and dissociation, and is…

High Energy Physics - Phenomenology · Physics 2022-09-20 Tobias Binder , Kyohei Mukaida , Bruno Scheihing-Hitschfeld , Xiaojun Yao

Non-abelian lattice spin models with symmetry group SU(N) or U(N) can be formulated in terms of link variables which are subject to the Bianchi constraints. Using this representation we derive exact and local dual formulation for the…

High Energy Physics - Lattice · Physics 2009-11-10 O. Borisenko , V. Kushnir

We regulate in Euclidean space the Jacobian under scale transformations for two-dimensional nonrelativistic fermions and bosons interacting via contact interactions and compare the resulting scaling anomalies. For fermions, Grassmannian…

High Energy Physics - Theory · Physics 2016-10-05 Chris L. Lin , Carlos R. Ordonez

The disorder and interaction effects on Bogoliubov-Fermi surfaces with preserved inversion symmetry are studied for a low-energy effective model coupled to bosonic degrees of freedom. It is shown that the non-ideal Bogoliubov quasiparticles…

Superconductivity · Physics 2021-09-29 Tatsuya Miki , Shun-Ta Tamura , Shoma Iimura , Shintaro Hoshino

We introduce a two-body quantum Hamiltonian model of spin-1/2 on a 2D spatial lattice with exact topological degeneracy in all coupling regimes. There exists a gapped phase in which the low-energy sector reproduces an effective color code…

Strongly Correlated Electrons · Physics 2013-05-29 H. Bombin , M. Kargarian , M. A. Martin-Delgado

Non-Abelian strings are considered in {\em non}-supersymmetric theories with fermions in various appropriate representations of the gauge group U($N$). We derive the electric charge quantization conditions and the index theorems counting…

High Energy Physics - Theory · Physics 2018-04-18 M. Shifman , A. Yung

We study the electron spectral function of various zero-temperature spin-charge separated phases in two dimensions. In these phases, the electron is not a fundamental excitation of the system, but rather ``decays'' into a spin-1/2…

Strongly Correlated Electrons · Physics 2009-11-07 C. Lannert , Matthew P. A. Fisher , T. Senthil

Non-interacting particles obeying certain fractional statistics have been predicted to exhibit superconductivity. We discuss the issue in an attractively interacting system of spinful semions on a lattice by numerically investigating the…

Superconductivity · Physics 2023-01-02 Koji Kudo , Jonathan Schirmer

We complete the formulation of the equations of motion of a non-Abelian gauge field coupled to fermions on a finite-element lattice in four space-time dimensions. This is accomplished by a straightforward iterative approach, in which…

High Energy Physics - Theory · Physics 2009-10-28 K. A. Milton

We construct a classical action for a system of $N$ point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state…

High Energy Physics - Theory · Physics 2009-10-22 Taejin Lee , Phillial Oh
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