Spontaneous chiral-symmetry breaking in three-dimensional QED

Appelquist, Thomas; Bowick, Mark J.; Karabali, Dimitra; Wijewardhana, L. C. R.

doi:10.1103/physrevd.33.3704

Cited by 432 publications

(582 citation statements)

References 32 publications

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“…In addition, the capability of large scale dynamical masses generation makes it particularly relevant in the modeling of beyond Standard Model physics [41]. More recently, QED3 has also been used as a model field theory for condensed matter systems such as high T c superconductors and graphene.…”

Section: Qed3 At T =mentioning

confidence: 99%

“…That is, the massless theory has no more symmetry than the massive one. However, if we consider N f fermions in the usual 4-spinor formalism, the theory exhibits a global U (2N f ) symmetry [41] that can be broken by a fermion mass term into U (N f ) × U (N f ). It is in this context that we use the term "chiral symmetry" in the present discussion.…”

Section: Qed3 At T =mentioning

confidence: 99%

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Confinement models at finite temperature and density

Swanson

2010

Phys. Rev. D

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This work presents a non-perturbative study of dynamical chiral symmetry breaking in various confinement models at finite temperature and density. The tool of choice is the Schwinger-Dyson equations. We shall discuss (i) the inadequacy of static confinement models in explaining thermal properties of QCD (ii) dynamical chiral and parity symmetry breaking of three dimensional QED with two-component fermions (iii) endemic infrared divergences in QED3 at finite temperature and the attempt to solve the system self-consistently.

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Section: Qed3 At T =mentioning

confidence: 99%

Section: Qed3 At T =mentioning

confidence: 99%

Confinement models at finite temperature and density

Swanson

2010

Phys. Rev. D

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“…At low energies, we can treat the fermionic mode as a Dirac mode as shown above. Within this approximation, the one-loop self-energy correction is [29,[31][32][33] 10) and thus the effective theory for the Φ 2 mode is…”

Section: Jhep07(2015)082mentioning

confidence: 99%

Holographic RG flows with nematic IR phases

Cremonini

Dong

Rong

et al. 2015

J. High Energ. Phys.

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We construct zero-temperature geometries that interpolate between a Lifshitz fixed point in the UV and an IR phase that breaks spatial rotations but preserves translations. We work with a simple holographic model describing two massive gauge fields coupled to gravity and a neutral scalar. Our construction can be used to describe RG flows in non-relativistic, strongly coupled quantum systems with nematic order in the IR. In particular, when the dynamical critical exponent of the UV fixed point is z = 2 and the IR scaling exponents are chosen appropriately, our model realizes holographically the scaling properties of the bosonic modes of the quadratic band crossing model.

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“…There are extensive studies using the DysonSchwinger equations [2] suggesting that there is dynamical chiral symmetry breaking in QED 3 if the number of fermion flavors is smaller than some critical number N c ∼ 3.3. However, the scale of this symmetry breaking (i.e.…”

Section: Qed In (2+1) Dimensionsmentioning

confidence: 99%

“…QED in (2+1) dimensions exhibits both dynamical mass generation [1,2,3,4,5] and confinement [6]. This makes it an interesting theory to study these nonperturbative phenomena.…”

Section: Introductionmentioning

confidence: 99%

Chiral symmetry breaking in (2+1) dimensional QED

Maris

Lee

2003

Nuclear Physics B - Proceedings Supplements

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We study dynamical mass generation in QED in (2+1) dimensions using Hamiltonian lattice methods. We use staggered fermions, and perform simulations with explicit dynamical fermions in the chiral limit. We demonstrate that a recently developed method to reduce the fermion sign problem can successfully be applied to this problem. Our results are in agreement with both the strong coupling expansion and with Euclidean lattice simulations.

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Spontaneous chiral-symmetry breaking in three-dimensional QED

Cited by 432 publications

References 32 publications

Confinement models at finite temperature and density

Confinement models at finite temperature and density

Holographic RG flows with nematic IR phases

Chiral symmetry breaking in (2+1) dimensional QED

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