scholarly journals Covert symmetry breaking

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
C. W. Erickson ◽  
A. D. Harrold ◽  
Rahim Leung ◽  
K. S. Stelle

Abstract Reduction from a higher-dimensional to a lower-dimensional field theory can display special features when the zero-level ground state has nontrivial dependence on the reduction coordinates. In particular, a delayed ‘covert’ form of spontaneous symmetry breaking can occur, revealing itself only at fourth order in the lower-dimensional effective field theory action. This phenomenon is explored in a simple model of (d + 1)-dimensional scalar QED with one dimension restricted to an interval with Dirichlet/Robin boundary conditions on opposing ends. This produces an effective d-dimensional theory with Maxwellian dynamics at the free theory level, but with unusual symmetry breaking appearing in the quartic vector-scalar interaction terms. This simple model is chosen to illuminate the mechanism of effects which are also noted in gravitational braneworld scenarios.

2015 ◽  
Vol 92 (4) ◽  
Author(s):  
Yoshimasa Hidaka ◽  
Toshifumi Noumi ◽  
Gary Shiu

2005 ◽  
Vol 20 (02n03) ◽  
pp. 358-364 ◽  
Author(s):  
JULIA SCHWEIZER

We describe the spectra and decays of π+π-and π±K∓atoms within a non-relativistic effective field theory. The evaluations of the energy shifts and widths are performed at next-to-leading order in isospin symmetry breaking. The prediction for the lifetime of the π±K∓atom in its ground-state yields τ10=(3.7±0.4)·10-15s .


1990 ◽  
Vol 05 (23) ◽  
pp. 1901-1908
Author(s):  
DAIJIRO SUEMATSU

We re-examine the possibility of large hierarchical symmetry breaking in the effective field theory of Calabi-Yau compactified superstring. We introduce the general superpotential containing the allowed moduli couplings. In certain manifolds one-loop radiative correction gives the non-trivial minimum and that solution suggests the possibility of large hierarchical symmetry breaking. To realize such a large hierarchy, it seems to require that 27(h2,1 + h1,1) > 48π2 and H1 ( End T) chiral superfields should have certain types of couplings to moduli fields.


2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Quentin Bonnefoy ◽  
Luca Di Luzio ◽  
Christophe Grojean ◽  
Ayan Paul ◽  
Alejo N. Rossia

Abstract We study whether higher-dimensional operators in effective field theories, in particular in the Standard Model Effective Field Theory (SMEFT), can source gauge anomalies via the modification of the interactions involved in triangle diagrams. We find no evidence of such gauge anomalies at the level of dimension-6 operators that can therefore be chosen independently to each others without spoiling the consistency of SMEFT, at variance with recent claims. The underlying reason is that gauge-invariant combinations of Goldstone bosons and massive gauge fields are allowed to couple to matter currents which are not conserved. We show this in a toy model by computing the relevant triangle diagrams, as well as by working out Wess-Zumino terms in the bosonic EFT below all fermion masses. The same approach applies directly to the Standard Model both at the renormalisable level, providing a convenient and unusual way to check that the SM is anomaly free, as well as at the non-renormalisable level in SMEFT.


2019 ◽  
Vol 17 (1, spec.issue) ◽  
pp. 89-96
Author(s):  
Lampros Trifyllis

Starting from the Standard Model (SM) of elementary particle physics, we assume that new physics effects can be encoded in higher-dimensional operators added in the SM Lagrangian. The resulting theory, the SM Effective Field Theory (SMEFT), is then used for high-accuracy phenomenological studies. Through this paper, the di-photon decay of the Higgs boson is used as a sample of a concrete calculation in the SMEFT framework.


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