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Spontaneous symmetry breaking in free theories with boundary potentials · Around

2020

Spontaneous symmetry breaking in free theories with boundary potentials

Procházka, Vladimír, Söderberg, Alexander

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Patterns of symmetry breaking induced by potentials at the boundary of free $O(N)$ models in $d=3- \epsilon$ dimensions are studied.

We show that the spontaneous symmetry breaking in these theories leads to a boundary RG flow ending with $N - 1$ Neumann modes in the IR.
The possibility of fluctuation-induced symmetry breaking is examined and we derive a general formula for computing one-loop effective potentials at the boundary.
Using the $\epsilon-$expansion we test these ideas in an $O(N)\oplus O(N)$ model with boundary interactions.

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L. Di Pietro, D. Gaiotto, E. Lauria, and J. Wu, “3d Abelian Gauge Theories at the Boundary,”
Original
1902
Earlier work this paper cites.
S. Coleman and E. Weinberg, “Radiative corrections as the origin of spontaneous symmetry breaking,”
1910
Earlier work this paper cites.
M. Shpot, “Boundary conformal field theory at the extraordinary transition: The layer susceptibility to
Original
1912
Earlier work this paper cites.
V. Procházka and A. Söderberg, “Composite operators near the boundary,”
Original
1912
Earlier work this paper cites.
S. Giombi and H. Khanchandani, “
Original
1912
Earlier work this paper cites.
J. M. Kosterlitz, D. R. Nelson, and M. E. Fisher, “Bicritical and tetracritical points in anisotropic antiferromagnetic systems,”
1976
Earlier work this paper cites.
J. L. Cardy, “Conformal Invariance and Surface Critical Behavior,”
1984
Earlier work this paper cites.
H. W. Diehl and E. Eisenriegler, “Walks, polymers, and other tricritical systems in the presence of walls or surfaces,”
1987
Earlier work this paper cites.
E. Eisenriegler and H. W. Diehl, “Surface critical behavior of tricritical systems,”
1988
Earlier work this paper cites.

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