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In this work, we provide a self-contained derivation of the spin-operator matrix elements in the fermionic basis, for the critical periodic Ising chain at a generic system length $N\in 2Z_{\ge 2}$. The approach relies on the near-Cauchy…

High Energy Physics - Theory · Physics 2026-01-21 Yizhuang Liu

We use the SU(2) slave fermion approach to study a tetrahedral spin 1/2 chain, which is a one-dimensional generalization of the two dimensional Kitaev honeycomb model. Using the mean field theory, coupled with a gauge fixing procedure to…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Priyanka Mohan , Sumathi Rao

The baryon axial currents are calculated at one-loop order in heavy baryon chiral perturbation theory by employing both a cutoff and dimensional regularization. Data from the semileptonic baryon decays is used to perform a least-squares fit…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Borasoy

We propose a nonperturbative formulation of chiral gauge theories. The method involves a `pre-regulation' of the gauge fields, which may be implemented on a lattice, followed by a computation of the chiral fermion determinant in the form of…

High Energy Physics - Theory · Physics 2008-02-03 Stephen D. H. Hsu

A theoretical spin-based scheme for performing a variety of quantum computations is presented. It makes use of an array of multiple identical computer vectors of phosphorus-doped silicon where the nuclei serve as logical qubits and the…

Quantum Physics · Physics 2013-02-08 Aharon Blank

We apply the recently developed thermal form factor expansion method to evaluate the real-time longitudinal spin-spin correlation functions of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetically ordered regime at temperature…

Statistical Mechanics · Physics 2021-05-26 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Jesko Sirker , Junji Suzuki

We describe the integrable structure of the space of local operators for the supersymmetric sine-Gordon model. Namely, we conjecture that this space is created by acting on the primary fields by fermions and a Kac-Moody current. We proceed…

High Energy Physics - Theory · Physics 2019-09-04 C. Babenko , F. Smirnov

The Kondo lattice is one of the classic examples of strongly correlated electronic systems. We conduct a controlled study of the Kondo lattice in one dimension, highlighting the role of excitations created by the composite fermion operator.…

Strongly Correlated Electrons · Physics 2024-06-04 Jing Chen , E. Miles Stoudenmire , Yashar Komijani , Piers Coleman

We compute the covariant Wigner function for spin-1/2 fermions in an arbitrarily strong magnetic field by exactly solving the Dirac equation at non-zero fermion-number and chiral-charge densities. The Landau energy levels as well as a set…

High Energy Physics - Phenomenology · Physics 2018-04-04 Xin-li Sheng , Dirk H. Rischke , David Vasak , Qun Wang

Spin chirality has generated great interest recently both from possible applications to flux phases and intrinsically, as an example of a several-site magnetic order parameter that can be long-ranged even where simpler order parameters are…

Condensed Matter · Physics 2009-10-28 D. A. Rabson , S. A. Trugman

We present the full analysis of the normal state of the spin-fermion model near the antiferromagnetic instability in two dimensions. This model describes low-energy fermions interacting with their own collective spin fluctuations, which…

Superconductivity · Physics 2007-05-23 Ar. Abanov , Andrey V. Chubukov , J. Schmalian

This paper discusses semiparametric inference on hypotheses on the cointegration and the attractor spaces for $I(1)$ linear processes with moderately large cross-sectional dimension. The approach is based on empirical canonical correlations…

Methodology · Statistics 2025-12-17 Massimo Franchi , Paolo Paruolo

We propose a method for computing n-time correlation functions of arbitrary spinorial, fermionic, and bosonic operators, consisting of an efficient quantum algorithm that encodes these correlations in an initially added ancillary qubit for…

Quantum Physics · Physics 2014-07-15 J. S. Pedernales , R. Di Candia , I. L. Egusquiza , J. Casanova , E. Solano

We address the issue of consistent interactions for off-shell fermion fields of arbitrary spin. These interactions play a crucial role in the quantum hadrodynamical description of high-spin baryon resonances in hadronic processes. The…

Nuclear Theory · Physics 2015-03-19 Tom Vrancx , Lesley De Cruz , Jan Ryckebusch , Pieter Vancraeyveld

Thanks to improved methods for numerical analytic continuation with constraints, spectral functions with sharp features can now be extracted from imaginary-time correlation functions computed by quantum Monte Carlo (QMC) simulations. Here…

Strongly Correlated Electrons · Physics 2025-12-25 Sibin Yang , Gabe Schumm , Bowen Zhao , Anders W. Sandvik

The effects of randomness and dimerization on the spin-1/2 XX chain are studied by a mapping to free fermions. Results are presented for the transverse and longitudinal components of the average and typical spin and string correlation…

Disordered Systems and Neural Networks · Physics 2009-10-30 P. Henelius , S. M. Girvin

We compute three-point functions of general operators in the su(1|1) sector of planar N = 4 SYM in the weak coupling regime, both at tree-level and one-loop. Each operator is represented by a closed spin chain Bethe state characterized by a…

High Energy Physics - Theory · Physics 2015-06-19 Joao Caetano , Thiago Fleury

We derive a Cooper-Frye type spin polarization formula for Dirac fermions at local thermal equilibrium described by a grand canonical ensemble specified by temperature, fluid velocity, chemical potential, and spin potential. We discuss the…

Nuclear Theory · Physics 2022-06-06 Yu-Chen Liu , Xu-Guang Huang

Magnetic skyrmions, topologically protected vortex-like configurations in spin textures, are of wide conceptual and practical appeal for quantum information technologies, notably in relation to the making of so-called race-track memory…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Emil Viñas Boström , Claudio Verdozzi

In this paper we continue and improve the analysis of the effective actions obtained by integrating out a scalar and a fermion field coupled to external symmetric sources, started in the previous paper. The first subject we study is the…

High Energy Physics - Theory · Physics 2018-02-14 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , T. Štemberga
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