We consider a variant of the charge -Q compact Abelian-Higgs model, in which an N-f-dimensional complex vector is coupled with an Abelian Zq gauge field. For N-f = 2 and Q =1 we observe several transition lines that belong to the O(4), O(3), and O(2) vector universality classes, depending on the symmetry breaking pattern at the transition. The universality class is independent of q as long as q ? 3. The universality class of the transition is uniquely determined by the behavior of the scalar fields; gauge fields do not play any role. We also investigate the system for N-f = 15 and Q = 2. In the presence of U(1) gauge fields, the system undergoes transitions associated with charged fixed points of the Abelian-Higgs field theory. These continuous transitions turn into first-order ones when the U(1) gauge fields are replaced by the discrete Z(q) fields: in the present compact model charged transitions appear to be very sensitive to the nature of the gauge fields.
Multicomponent gauge-Higgs models with discrete Abelian gauge groups / Bracci Testasecca, Giacomo; Pelissetto, Andrea. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2023:4(2023). [10.1088/1742-5468/acc72f]
Multicomponent gauge-Higgs models with discrete Abelian gauge groups
Giacomo Bracci Testasecca
;Andrea Pelissetto
2023
Abstract
We consider a variant of the charge -Q compact Abelian-Higgs model, in which an N-f-dimensional complex vector is coupled with an Abelian Zq gauge field. For N-f = 2 and Q =1 we observe several transition lines that belong to the O(4), O(3), and O(2) vector universality classes, depending on the symmetry breaking pattern at the transition. The universality class is independent of q as long as q ? 3. The universality class of the transition is uniquely determined by the behavior of the scalar fields; gauge fields do not play any role. We also investigate the system for N-f = 15 and Q = 2. In the presence of U(1) gauge fields, the system undergoes transitions associated with charged fixed points of the Abelian-Higgs field theory. These continuous transitions turn into first-order ones when the U(1) gauge fields are replaced by the discrete Z(q) fields: in the present compact model charged transitions appear to be very sensitive to the nature of the gauge fields.File | Dimensione | Formato | |
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