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We continue our earlier study of the phase structure of a SU(2) gauge theory whose action contains additional chirally invariant four fermion interactions. Our lattice theory uses a reduced staggered fermion formalism to generate two Dirac…

High Energy Physics - Lattice · Physics 2015-06-15 Simon Catterall , Aarti Veernala

We design a lattice model of a "mixed" U(1) gauge field coupled to fermions with a flavor chemical potential and solve it with large-scale determinant quantum Monte Carlo simulations, For zero flavor chemical potential, the model realizes…

Strongly Correlated Electrons · Physics 2026-05-15 Chuang Chen , Urban F. P. Seifert , Kexin Feng , Oleg A. Starykh , Leon Balents , Zi Yang Meng

We use the radial gauge to calculate the recently proposed ansatz for the physical electron propagator in such effective models of strongly correlated electron systems as the $QED_3$ theory of the pseudogap phase of the cuprates. The…

Condensed Matter · Physics 2011-07-19 V. P. Gusynin , D. V. Khveshchenko , M. Reenders

Many popular models of fractionalized spin liquids contain neutral fermionic spinon excitations on a Fermi surface, carrying unit charges under a compact U(1) gauge force. We argue that instanton effects generically render such states…

Strongly Correlated Electrons · Physics 2011-08-08 Igor F. Herbut , Babak H. Seradjeh , Subir Sachdev , Ganpathy Murthy

The origin of the pseudogap behavior, found in many high-$T_c$ superconductors, remains one of the greatest puzzles in condensed matter physics. One possible mechanism is fermionic incoherence, which near a quantum critical point allows…

Strongly Correlated Electrons · Physics 2022-05-16 Weilun Jiang , Yuzhi Liu , Avraham Klein , Yuxuan Wang , Kai Sun , Andrey V. Chubukov , Zi Yang Meng

We consider the SU(2) gauge theory for spin fluctuations in the two-dimensional Hubbard model, where the electron field is fractionalized in terms of spinons and chargons. In this theory, spinons are described by a non-linear sigma model,…

Strongly Correlated Electrons · Physics 2025-11-06 Demetrio Vilardi , Pietro M. Bonetti

We study the damping rate of massless Dirac fermions due to the U(1) gauge field in (2+1)-dimensional quantum electrodynamics. In the absence of a Maxwell term for the gauge field, the fermion damping rate $\mathrm{Im}\Sigma(\omega,T)$ is…

Superconductivity · Physics 2010-11-11 Jing-Rong Wang , Guo-Zhu Liu

An antiferromagnetic (AF) spin fluctuation induced pairing model is proposed for the electron-doped cuprate superconductors. It suggests that, similar to the hole-doped side, the superconducting gap function is monotonic d_{x^2-y^2}-wave…

Superconductivity · Physics 2009-11-13 C. S. Liu , W. C. Wu

We propose a new parton theory of the hole-doped cuprates, describing the evolution from the pseudogap metal with small Fermi surfaces to the conventional Fermi liquid with a large Fermi surface. We introduce 2 ancilla qubits per square…

Strongly Correlated Electrons · Physics 2020-05-20 Ya-Hui Zhang , Subir Sachdev

We study, by numerical simulations on a lattice, the behaviour of the gauge-invariant nonlocal quark condensates in the QCD vacuum both in the quenched approximation and with four flavours of dynamical staggered fermions. The correlation…

High Energy Physics - Lattice · Physics 2008-11-26 M. D'Elia , A. Di Giacomo , E. Meggiolaro

We describe a new method to determine non-perturbatively the beta function of a gauge theory using lattice simulations in the p-regime of the theory. This complements alternative measurements of the beta function working directly at zero…

High Energy Physics - Lattice · Physics 2018-04-18 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

Using the Zumino identities it is shown that in a class of non-local gauges, massless QED_3 has an infrared behaviour of a conformal field theory with a continuously varying anomalous dimension of the fermion. In the usual Lorentz gauge,…

High Energy Physics - Theory · Physics 2008-11-26 Indrajit Mitra , Raghunath Ratabole , H. S. Sharatchandra

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

By extending previous work on the scaling of low frequency magnetic properties of the 2-1-4 cuprates to the 1-2-3 materials, we arrive at a consistent phenomenological description of protected behavior in the pseudogap state of the…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Barzykin , David Pines

The explanation of the anomalous behavior in $\kappa$-type (BEDT-TTF)$_2$X which was revealed by the nuclear magnetic resonance experiments is presented. We calculate the electronic properties by using the one-loop approximation for the…

Superconductivity · Physics 2009-10-31 T. Jujo , K. Yamada

This paper investigates the coupling of massive fermions to gravity within the context of a non-Abelian gauge theory, utilizing the effective field theory framework for quantum gravity. Specifically, we calculate the two-loop beta function…

High Energy Physics - Theory · Physics 2025-06-19 M. Gomes , A. C. Lehum , A. J. da Silva

We perform perturbative computations in a lattice gauge theory with a conformal measure that is quadratic in a non-compact abelian gauge field and is nonlocal, as inspired by the induced gauge action in massless QED$_3$. In a previous work,…

High Energy Physics - Lattice · Physics 2023-01-11 Nikhil Karthik , Matthew Klein , Rajamani Narayanan

We describe the phase diagram of a 2+1 dimensional SU(2) gauge theory of fluctuating incommensurate spin density waves for the hole-doped cuprates. Our primary assumption is that all low energy fermionic excitations are gauge neutral and…

Strongly Correlated Electrons · Physics 2019-03-06 Subir Sachdev , Harley D. Scammell , Mathias S. Scheurer , Grigory Tarnopolsky

The quasiparticles in the normal state of cuprate superconductors have been shown to behave universally as a 3-dimensional Fermi liquid. Because of interactions and the presence of the Fermi surfaces (or Fermi energies), the quasiparticle…

Superconductivity · Physics 2023-10-18 Setsuo Misawa

We derive in detail a novel solution of the spin fermion model which is valid in the quasi-static limit pi T<<omega_sf, found in the intermediate (pseudoscaling) regime of the magnetic phase diagram of cuprate superconductors, and use it to…

Condensed Matter · Physics 2009-10-31 Joerg Schmalian , David Pines , Branko Stojkovic