which dynamically breaks SU(2)L × SU(2)R → SU(2)V . These broken chiral symmetries imply the existence of three massless Goldstone bosons, the analogs of the pions in QCD. Now consider gauging SU(2)W × U(1)Y with the left-handed fermions transforming as weak doublets and the right-handed ones as weak singlets. To avoid gauge anomalies, in this one-doublet technicolor model we will take the left...

An analysis is presented of the physical implications of theories in which the masses of the intermediate vector bosons arise from a dynamical symmetry breaking. In the absence of elementary spin-zero fields or bare fermion masses, such theories are necessarily invariant to zeroth order in the weak and electromagnetic gauge interactions under a global U(N) 8U(N) symmetry, where N is the number ...

We show that dynamical symmetry methods can be applied to Hamiltonians with periodic potentials. We construct dynamical symmetry Hamiltonians for the Scarf potential and its extensions using representations of su(1, 1) and so(2, 2). Energy bands and gaps are readily understood in terms of representation theory. We compute the transfer matrices and dispersion relations for these systems, and fin...

Historically, static symmetric bodies and ornaments are geometric idealizations in the Platonic tradition. Actually, symmetries are locally and globally broken by phase transitions of instability in dynamical systems generating a variety of new order and partial symmetries with increasing complexity. The states of complex dynamical systems can refer to, for example, atomic clusters, crystals, b...

Partial dynamical symmetry describes a situation in which some eigenstates have a symmetry which the quantum Hamiltonian does not share. This property is shown to have a classical analogue in which some tori in phase space are associated with a symmetry which the classical Hamiltonian does not share. A local analysis in the vicinity of these special tori reveals a neighbourhood of phase space f...

The effective potential in the model introduced by Buchbinder-Inagaki-Odintsov (BIO) [1] which represents SUSY NJL model non-minimally coupled with the external gravitational field is found. The topology of the space is considered to be non-trivial. Chiral symmetry breaking under the action of external curvature and non-trivial topology is investigated. Nambu-Jona-Lasinio (NJL) model represents...

The fundamental concept underlying algebraic theories in quantum physics is that of an exact or dynamical symmetry. Realistic quantum systems, however, often require the associated symmetry to be broken in order to allow for a proper description of some observed basic features. Partial dynamical symmetry (PDS) describes an intermediate situation in which some eigenstates exhibit a symmetry whic...

We study the operator product expansion in the bosonic SU(2)0 and SUSY SU(2)2 WZNW models. We find that these OPEs contain both logarithmic operators and new conserved currents, leading to an extension of the symmetry group.

Using gauge invariant effective Lagrangians in 1+ 3 dimensions describing the Standard Model in 1 + 4 dimensions, we explore dynamical electroweak symmetry breaking. The Top Quark Seesaw model arises naturally, as well as the full CKM structure. We include a discussion of effects of warping, and indicate how other dynamical schemes may also be realized. ∗e-mail: [email protected], hill...

We study dynamical electroweak symmetry breaking in the Randall-Sundrum scenario. We show that one extra dimension is enough to give the correct pattern of electroweak symmetry breaking in a simple model with gauge bosons and the right-handed top quark in the bulk. The top quark mass is also in agreement with experiment. Furthermore, we propose an extended scenario with all Standard Model gauge...