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We propose a roadmap for bootstrapping conformal field theories (CFTs) described by gauge theories in dimensions $d>2$. In particular, we provide a simple and workable answer to the question of how to detect the gauge group in the bootstrap…

High Energy Physics - Theory · Physics 2021-12-29 Yin-Chen He , Junchen Rong , Ning Su

The algebraic formulation of the quantum group gauge models in the framework of the $R$-matrix approach to the theory of quantum groups is given. We consider gauge groups taking values in the quantum groups and noncommutative gauge fields…

High Energy Physics - Theory · Physics 2009-10-22 A. P. Isaev , Z. Popowicz

The theory of second order phase transitions is one of the foundations of modern statistical mechanics and condensed matter theory. A central concept is the observable `order parameter', whose non-zero average value characterizes one or…

Strongly Correlated Electrons · Physics 2007-05-23 T. Senthil , Ashvin Vishwanath , Leon Balents , Subir Sachdev , M. P. A. Fisher

Deconfined quantum critical points are characterized by the presence of an emergent gauge field and exotic fractionalized particles, which exist as well-defined excitations only at the critical point. We here demonstrate the existence of…

Strongly Correlated Electrons · Physics 2018-09-12 Han Ma , Michael Pretko

The numerical renormalization group method is used to investigate zero temperature phase transitions in quantum impurity systems, in particular in the particle-hole symmetric soft-gap Anderson model. The model displays two stable phases…

Strongly Correlated Electrons · Physics 2007-05-23 Hyun-Jung Lee , Ralf Bulla , Matthias Vojta

Noninvertible symmetry generalizes traditional group symmetries, advancing our understanding of quantum matter, especially one-dimensional gapped quantum systems. In critical lattice models, it is usually realized as emergent symmetries in…

Strongly Correlated Electrons · Physics 2024-12-02 Linhao Li , Rui-Zhen Huang , Weiguang Cao

We study the quantum phase diagram and the onset of quantum critical phenomena in a generalized Dicke model that includes collective qubit-qubit interactions. By employing semiclassical techniques, we analyze the corresponding classical…

Quantum Physics · Physics 2022-09-21 Ricardo Herrera Romero , Miguel Angel Bastarrachea-Magnani , Román Linares

We describe a scheme for finding quantum critical points based on studies of a non-equilibrium susceptibility during finite-rate quenches taking the system from one phase to another. We assume that two such quenches are performed in…

Statistical Mechanics · Physics 2020-10-12 Michał Białończyk , Bogdan Damski

Prior work [arXiv:2106.16248] shows that the Standard Model (SM) naturally arises near a gapless quantum critical region between Georgi-Glashow (GG) $su(5)$ and Pati-Salam (PS) $su(4) \times su(2) \times su(2)$ models of quantum vacua (in a…

High Energy Physics - Theory · Physics 2022-05-20 Juven Wang , Yi-Zhuang You

Quantum cluster theories are a set of approaches for the theory of correlated and disordered lattice systems, which treat correlations within the cluster explicitly, and correlations at longer length scales either perturbatively or within a…

Superconductivity · Physics 2009-11-11 T. A. Maier , M. S. Jarrell , D. J. Scalapino

Gauge theories are important descriptions for many physical phenomena and systems in quantum computation. Automorphism of gauge group naturally gives global symmetries of gauge theories. In this work we study such symmetries in gauge…

Strongly Correlated Electrons · Physics 2026-05-12 Po-Shen Hsin , Ryohei Kobayashi

We suggest a tetracritical fixed point to naturally occur in strongly interacting theories. As a fundamental example we analyze the temperature--quark chemical potential phase diagram of QCD with fermions in the adjoint representation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Francesco Sannino , Kimmo Tuominen

Symmetry is fundamental to physical laws across different scales$\unicode{x2014}$from spacetime structure in general relativity to particle interactions in quantum field theory. Local symmetries, described by gauge theories, are central to…

Quantum Physics · Physics 2025-10-13 Abhijit Chakraborty , Randy Lewis , Christine A. Muschik

Some interesting nonperturbative properties of the strongly coupled 4D compact U(1) lattice gauge theories, both without and with matter fields, are pointed out. We demonstrate that the pure gauge theory has a non-Gaussian fixed point with…

High Energy Physics - Lattice · Physics 2007-05-23 W. Franzki , J. Jersak , C. B. Lang , T. Neuhaus

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old conjectures about symmetries in quantum gravity. We first show that any global symmetry, discrete or continuous, in a bulk quantum gravity theory with…

High Energy Physics - Theory · Physics 2019-06-07 Daniel Harlow , Hirosi Ooguri

We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition (QPT) where the critical point exhibits an emergent enhanced symmetry. Such a transition…

Strongly Correlated Electrons · Physics 2025-08-27 Anirudha Menon , Anwesha Chattopadhyay , K. Sengupta , Arnab Sen

We construct lattice gauge theories in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. These quantum link models are related to ordinary lattice gauge theories in the same way as…

High Energy Physics - Lattice · Physics 2015-06-25 S. Chandrasekharan , U. -J. Wiese

Spontaneous phase separation instabilities with the formation of various types of charge and spin pairing (pseudo)gaps in $U>0$ Hubbard model including the {\it next nearest neighbor coupling} are calculated with the emphasis on the…

Strongly Correlated Electrons · Physics 2012-05-16 A. N. Kocharian , Kun Fang , G. W. Fernando

We make connections between studies in the condensed matter literature on quantum phase transitions in square lattice antiferromagnets, and results in the particle theory literature on abelian supersymmetric gauge theories in 2+1…

Strongly Correlated Electrons · Physics 2010-01-11 Subir Sachdev , Xi Yin

Gauging a finite Abelian normal subgroup $\Gamma$ of a nonanomalous 0-form symmetry $G$ of a theory in $(d+1)$D spacetime can yield an unconventional critical point if the original theory has a continuous transition where $\Gamma$ is…

Strongly Correlated Electrons · Physics 2023-08-08 Lei Su
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