Phases of SU(2) gauge theory with multiple adjoint Higgs fields in 
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 dimensions

Scammell, Harley D.; Patekar, Kartik; Scheurer, Mathias S.; Sachdev, Subir

doi:10.1103/physrevb.101.205124

Cited by 23 publications

(34 citation statements)

References 14 publications

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“…We have analyzed a model of optimal doping criticality in the cuprates [15,16]. The underlying transition is a Higgsconfinement transition in a SU(2) gauge theory, with the Higgs field corresponding to the spin density wave order in a rotating frame of reference.…”

Section: Discussionmentioning

confidence: 99%

“…The gauge-charged matter sector of the model of Refs. [15,16] has real Higgs fields H a , where a = 1, 2, 3 is the SU(2) adjoint gauge index, and = 1 . .…”

Section: The Modelmentioning

confidence: 99%

“…[15], the global symmetry is smaller, and arises from the action of the square lattice space group symmetry on the charge density wave (and other) order parameters. We have enhanced the space group symmetry to O(N h ) for simplicity [15,16].…”

Section: The Modelmentioning

confidence: 99%

“…We have to solve Eqs. (16) and 17for (T ) and C(τ ) as a function of T and g. In practice, it is easier to pick a value of (T ), solve Eq. 16for C(τ ), and then determine the value of g as a dependent variable from Eq.…”

Section: Large N H Limitmentioning

confidence: 99%

“…Our interest in studying gauge theories of critical points in metals was motivated by numerous experimental indications [1][2][3][4][5][6][7][8][9][10][11][12][13][14] of optimal doping criticality in the hole-doped cuprate superconductors. We examine here further aspects of a recently proposed [15,16] SU (2) gauge theory for the vicinity of optimal doping in which a parent conformal theory is coupled to a large Fermi surface of gauge-neutral electrons. This theory describes a phase transition from a Higgs phase, representing the pseudogap regime, to a confining phase, representing the overdoped Fermi liquid.…”

Section: Introductionmentioning

confidence: 99%

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Bilocal quantum criticality

Scammell

Scheurer

Sachdev

2020

Phys. Rev. Research

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We consider 2+1-dimensional conformal gauge theories coupled to additional degrees of freedom which induce a spatially local but long-range in time 1/(τ − τ) 2 interaction between gauge-neutral local operators. Such theories have been argued to describe the hole-doped cuprates near optimal doping. We focus on a SU(2) gauge theory with N h flavors of adjoint Higgs fields undergoing a quantum transition between Higgs and confining phases: the 1/(τ − τ) 2 interaction arises from a spectator large Fermi surface of electrons. The large N h expansion leads to an effective action containing fields which are bilocal in time but local in space. We find a strongly coupled fixed point at order 1/N h , with dynamic critical exponent z > 1. We show that the entropy preserves hyperscaling but nevertheless leads to a linear in temperature specific heat with a coefficient which has a finite enhancement near the quantum critical point.

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Section: Discussionmentioning

confidence: 99%

“…The gauge-charged matter sector of the model of Refs. [15,16] has real Higgs fields H a , where a = 1, 2, 3 is the SU(2) adjoint gauge index, and = 1 . .…”

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Large N H Limitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Bilocal quantum criticality

Scammell

Scheurer

Sachdev

2020

Phys. Rev. Research

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Two-dimensional lattice SU(Nc) gauge theories with multiflavor adjoint scalar fields

Bonati

Franchi

Pelissetto

et al. 2021

J. High Energ. Phys.

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We consider two-dimensional lattice SU(Nc) gauge theories with Nf real scalar fields transforming in the adjoint representation of the gauge group and with a global O(Nf) invariance. Focusing on systems with Nf≥ 3, we study their zero-temperature limit, to understand under which conditions a continuum limit exists, and to investigate the nature of the associated quantum field theory. Extending previous analyses, we address the role that the gauge-group representation and the quartic scalar potential play in determining the nature of the continuum limit (when it exists). Our results further corroborate the conjecture that the continuum limit of two-dimensional lattice gauge models with multiflavor scalar fields, when it exists, is associated with a σ model defined on a symmetric space that has the same global symmetry as the lattice model.

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Deconfined criticality and ghost Fermi surfaces at the onset of antiferromagnetism in a metal

Zhang

Sachdev

2020

Phys. Rev. B

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Phases of SU(2) gauge theory with multiple adjoint Higgs fields in 2+1 dimensions

Cited by 23 publications

References 14 publications

Bilocal quantum criticality

Bilocal quantum criticality

Two-dimensional lattice SU(Nc) gauge theories with multiflavor adjoint scalar fields

Deconfined criticality and ghost Fermi surfaces at the onset of antiferromagnetism in a metal

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