Dynamical stability of local gauge symmetry Creation of light from chaos

Foêrster, D.; Nielsen, Holger Bech; Ninomiya, M.

doi:10.1016/0370-2693(80)90842-4

Cited by 156 publications

(167 citation statements)

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“…the Planck scale), and protons and neutrons hence also naturally participate in the low-energy physics. The robustness of gauge invariance at low energies, even if it is violated at the cut-off scale, has been recognized a long time ago [12]. When gauge theories undergo the Higgs mechanism, the gauge bosons pick up a mass at the scale of the vacuum expectation value of the Higgs field.…”

Section: Introductionmentioning

confidence: 99%

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

2013

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Abelian and non-Abelian gauge theories are of central importance in many areas of physics. In condensed matter physics, Abelian U(1) lattice gauge theories arise in the description of certain quantum spin liquids. In quantum information theory, Kitaev's toric code is a Z(2) lattice gauge theory. In particle physics, Quantum Chromodynamics (QCD), the non-Abelian SU(3) gauge theory of the strong interactions between quarks and gluons, is nonperturbatively regularized on a lattice. Quantum link models extend the concept of lattice gauge theories beyond the Wilson formulation, and are well suited for both digital and analog quantum simulation using ultracold atomic gases in optical lattices. Since quantum simulators do not suffer from the notorious sign problem, they open the door to studies of the real-time evolution of strongly coupled quantum systems, which are impossible with classical simulation methods. A plethora of interesting lattice gauge theories suggests itself for quantum simulation, which should allow us to address very challenging problems, ranging from confinement and deconfinement, or chiral symmetry breaking and its restoration at finite baryon density, to color superconductivity and the real-time evolution of heavy-ion collisions, first in simpler model gauge theories and ultimately in QCD.

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Section: Introductionmentioning

confidence: 99%

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

2013

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“…The emergent quasiparticles in particle condensed states are always scalar bosons. In contrast, the emergent particles in string condensed states are (deconfined) gauge bosons [Banks et al (1977); Foerster et al (1980); Wen (2002a); Motrunich and Senthil (2002); Wen (2003a)] and fermions [Levin and Wen (2003); Wen (2003b)]. Fermions can emerge as collective excitations of purely bosonic models!…”

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confidence: 99%

Quantum Field Theory of Many-Body Systems

Wen¹

2007

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“…(This is a standard trick [6] that leads to a new, mathematically equivalent, formulation of the theory.) The result is a Higher Derivative (HD) action S(φ † x U x,µ φ x+μ ), and the symmetry group is enlarged to G local × G global :…”

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confidence: 99%

“…This is the symmetry that we require to enlarge to a local symmetry in the continuum limit. The field φ x explicitly represents the unphysical gauge degrees of freedom, which couple to the transversal degrees of freedom because the lattice action S(U) is not invariant under local g-transformations [6]. One starts with a simple model that gives rise to the FMD transition described above.…”

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confidence: 99%