Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-29
Physics
High Energy Physics
High Energy Physics - Theory
23 pages
Scientific paper
In this note we investigate the anomalous breaking of anisotropic scaling symmetry $(t,x)\rightarrow(\lambda^z\,t,\lambda\,x)$ in a non-relativistic field theory with dynamical exponent $z=2$. On general grounds, one can show that there exist three possible "central charges" which characterize the breaking of scale invariance. Using heat kernel methods, we compute these three central charges in the quantum Lifshitz model, a free field theory which is second order in time and fourth order in spatial derivatives. We find that two of the three central charges vanish. Interestingly, this is also true for strongly coupled non-relativistic field theories with a geometric dual described by a metric and a massive vector field.
Baggio Marco
Boer Jan de
Holsheimer Kristian
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