Spontaneous breaking of the conformal group in the Abelian Higgs model

1978 ◽  
Vol 21 (15) ◽  
pp. 522-528
Author(s):  
E. Gava
Keyword(s):  
Conformal Group ◽  
Higgs Model ◽  
Spontaneous Breaking ◽  
Abelian Higgs Model

Symmetries and symmetry breaking

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Symmetry Breaking ◽  
Global Symmetries ◽  
Effective Potential ◽  
Higgs Model ◽  
Spontaneous Breaking ◽  
Quantum Level ◽  
Abelian Higgs Model

The spontaneous breaking of symmetries (SSB) is discussed for global symmetries and Goldstones theorem is derived. The renormalisation of theories with SSB is studied using the effective potential. Then SSB is applied to the Abelian Higgs model, both on the classical and quantum level.

scholarly journals Cosmic string in Abelian-Higgs model with enhanced symmetry — Implication to the axion domain-wall problem

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Takashi Hiramatsu ◽  
Masahiro Ibe ◽  
Motoo Suzuki
Keyword(s):  
Phase Transition ◽  
Domain Wall ◽  
Cosmic String ◽  
Higgs Model ◽  
The Other ◽  
Spontaneous Breaking ◽  
Global Symmetry ◽  
Abelian Higgs Model ◽  
Dimensional Spacetime ◽  
Dimensional Simulation

Abstract In our previous work, we found new types of the cosmic string solutions in the Abelian-Higgs model with an enhanced U(1) global symmetry. We dubbed those solutions as the compensated/uncompensated strings. The compensated string is similar to the conventional cosmic string in the Abrikosov-Nielsen-Olesen (ANO) string, around which only the would-be Nambu-Goldstone (NG) boson winds. Around the uncompensated string, on the other hand, the physical NG boson also winds, where the physical NG boson is associated with the spontaneous breaking of the enhanced symmetry. Our previous simulation in the 2+1 dimensional spacetime confirmed that both the compensated/uncompensated strings are formed at the phase transition of the symmetry breaking. Non-trivial winding of the physical NG boson around the strings potentially causes the so-called axion domain- wall problem when the model is applied to the axion model. In this paper, we perform simulation in the 3+1 dimensional spacetime to discuss the fate of the uncompensated strings. We observe that the evolution of the string-network is highly complicated in the 3+1 dimensional simulation compared with that seen in the previous simulation. Despite such complications, we find that the number of the uncompensated strings which could cause can be highly suppressed at late times. Our observation suggests that the present setup can be applied to the axion model without suffering from the axion domain-wall problem.

scholarly journals Lattice Abelian-Higgs model with noncompact gauge fields

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Claudio Bonati ◽  
Andrea Pelissetto ◽  
Ettore Vicari
Keyword(s):  
Higgs Model ◽  
Gauge Fields ◽  
Abelian Higgs Model

Hamiltonian and BRST formulations of the two-dimensional Abelian Higgs model

2000 ◽  
Vol 78 (1) ◽  
pp. 21-31 ◽  
Author(s):  
Usha Kulshreshtha
Keyword(s):  
Higgs Model ◽  
Two Dimensional ◽  
Abelian Higgs Model

The Hamiltonian and BRST formulations of the Abelian Higgs model in one-space one-time dimensions are investigated. PACS Nos.: 03.65+, 03.70tk, 11.10lm, 11.10Ef, 11.30Rd

scholarly journals Numerical Simulations of String Networks in the Abelian-Higgs Model

1998 ◽  
Vol 80 (11) ◽  
pp. 2277-2280 ◽  
Author(s):  
Graham Vincent ◽  
Nuno D. Antunes ◽  
Mark Hindmarsh
Keyword(s):  
Numerical Simulations ◽  
Higgs Model ◽  
Abelian Higgs Model ◽  
String Networks

Lattice vortices in the two-dimensional Abelian Higgs model

1987 ◽  
Vol 33 (4) ◽  
pp. 561-568 ◽  
Author(s):  
S. Grunewald ◽  
E. -M. Ilgenfritz ◽  
M. M�ller-Preussker
Keyword(s):  
Higgs Model ◽  
Two Dimensional ◽  
Abelian Higgs Model

scholarly journals NONPERTURBATIVE FIELD CORRELATOR AND STRING REPRESENTATION FOR THE 't HOOFT LOOP AVERAGE IN THE ABELIAN HIGGS MODEL

1998 ◽  
Vol 13 (09) ◽  
pp. 659-671 ◽  
Author(s):  
D. V. ANTONOV
Keyword(s):  
Field Strength ◽  
Higgs Field ◽  
Exact Result ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
String Tension ◽  
Higgs Model ◽  
Effective Theory ◽  
Abelian Higgs Model ◽  
String Representation

Making use of the duality transformation, we derive in the Londons' limit of the Abelian Higgs model string representation for the 't Hooft loop average defined on the string worldsheet, which yields the values of two coefficient functions parametrizing the bilocal correlator of the dual field strength tensors. The asymptotic behaviors of these functions agree with the ones obtained within the method of vacuum correlators in QCD in the lowest order of perturbation theory. We demonstrate that the bilocal approximation to the method of vacuum correlators is an exact result in the Londons' limit, i.e. all the higher cumulants in this limit vanish. We also show that at large distances, apart from the integration over metrics, the obtained string effective theory (which in this case reduces to the nonlinear massive axionic sigma model) coincides with the low energy limit of the dual version of 4D compact QED, the so-called universal confining string theory. We derive string tension of the Nambu–Goto term and the coupling constant of the rigidity term for the obtained string effective theory and demonstrate that the latter is always negative, which means the stability of strings, while the positiveness of the former is confirmed by the present lattice data. These data enable us to find the Higgs boson charge and the vacuum expectation value of the Higgs field, which well-described QCD. We also study dynamics of the weight factor of the obtained string representation for the 't Hooft average in the loop space. In conclusion, we obtain string representation for the partition function of the correlators of an arbitrary number of Higgs currents, by virtue of which we rederive the structure of the bilocal correlator of the dual field strength tensors, which yields the surface term in the string effective action.

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