TY - JOUR

T1 - Compact z=2 electrodynamics in 2+1 dimensions

T2 - Confinement with gapless modes

AU - Das, Sumit R.

AU - Murthy, Ganpathy

PY - 2010/5/5

Y1 - 2010/5/5

N2 - We consider 2+1-dimensional compact U(1) gauge theory at the Lifshitz point with a dynamical critical exponent z=2. As in the usual z=1 theory, monopoles proliferate the vacuum for any value of the coupling, generating a mass scale. The theory of the dilute monopole gas is written in terms of a non-relativistic sine-Gordon model with two real fields. While monopoles remove some of the massless poles of the perturbative field strength propagator, a gapless mode representing the incomplete screening of monopoles remains, and is protected by a shift invariance of the original theory. Timelike Wilson loops still obey area laws, implying that minimal charges are confined, but the action of spacelike Wilson loops of linear size L goes instead as L3.

AB - We consider 2+1-dimensional compact U(1) gauge theory at the Lifshitz point with a dynamical critical exponent z=2. As in the usual z=1 theory, monopoles proliferate the vacuum for any value of the coupling, generating a mass scale. The theory of the dilute monopole gas is written in terms of a non-relativistic sine-Gordon model with two real fields. While monopoles remove some of the massless poles of the perturbative field strength propagator, a gapless mode representing the incomplete screening of monopoles remains, and is protected by a shift invariance of the original theory. Timelike Wilson loops still obey area laws, implying that minimal charges are confined, but the action of spacelike Wilson loops of linear size L goes instead as L3.

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U2 - 10.1103/PhysRevLett.104.181601

DO - 10.1103/PhysRevLett.104.181601

M3 - Article

AN - SCOPUS:77951886902

SN - 0031-9007

VL - 104

JO - Physical Review Letters

JF - Physical Review Letters

IS - 18

M1 - 181601

ER -