We show the infrared equivalence between a recently proposed model containing a six dimensional scalar field with a four-dimensional localized Higgs type potential and the four-dimensional Nambu-Jona-Lasinio (NJL) model. In the dual NJL description, the fermions are localized at the origin of a large two-dimensional compact space. Due to a classical running effect above the compactification sca...

Recently, a condition is derived for a nontrivial solution of the SchwingerDyson equation to be accompanied by a Goldstone bound state in a special quantum electrodynamics model. This result is extended and a new form of the Goldstone theorem is obtained in a general quantum field theory framework.

Systems of globally coupled logistic maps (GCLM) can display complex collective behaviour characterized by the formation of synchronous clusters. In the dynamical clustering regime, such systems possess a large number of coexisting attractors and might be viewed as dynamical glasses. Glass properties of GCLM in the thermodynamical limit of large system sizes N are investigated. Replicas, repres...

For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling we establish novel partially coherent inhomogeneous spatial patterns, which combine the features of chimera states (coexisting incongruous coherent and incoherent domains) and oscillation death (oscillation suppression), which we call "chimera death". We show that due to the interplay of nonlocality and b...

Dynamical conserved topology(DCT) has conserved number of nodes and links’ ends, its nodes can exchange with other nodes, its links’ ends can transferred from one node to another, and its links can rotate between nodes. Through analyzing their symmetry properties, we can get the detail behavior of DCT, which can be simulated by computer with my program. And by comparing with space with 3 dimens...

Characteristic features of dynamical symmetry breaking are investigated in Randall-Sundrum (RS) background. To study the influence of bulk fermion or bulk gauge field I consider a five-dimensional four-fermion interaction model and a non-Abelian gauge field theory as simple models where the chiral symmetry is broken down dynamically. Using a four-dimensional Lagrangian induced from the five-dim...

We discuss the notion of partial dynamical symmetry in relation to nuclear spectroscopy. Explicit forms of Hamiltonians with partial SU(3) symmetry are presented in the framework of the interacting boson model of nuclei. An analysis of the resulting spectrum and electromagnetic transitions demonstrates the relevance of such partial symmetry to the spectroscopy of axially deformed nuclei. PACS n...

Left–right symmetry breaking in a model with composite Higgs scalars is discussed. It is assumed that the low–energy degrees of freedom are just fermions and gauge bosons and that the Higgs bosons are generated dynamically through a set of gauge– and parity–invariant 4-fermion operators. It is shown that in a model with composite bi-doublet and two triplet scalars there is no parity breaking at...

We discuss the phenomenological implications of an approximate SU(6) x SU(6) x U(1) symmetry of hadron physics which remains after dynamical symmetry breaking in the strong-coupling lattice gauge theory. This symmetry is similar to but differs in an essential fashion from . previous versions of SU(6) x SU(6) or SU(6)W. The difference resolves some of the problems of the older schemes-for exampl...

We analyze the symmetries and the self-consistent perturbative approaches of dynamical field theories for glass-forming liquids. In particular we focus on the time-reversal symmetry which is crucial to obtain fluctuation dissipation relations (FDR). Previous field theoretical treatment violated this symmetry, whereas others pointed out that constructing symmetry preserving perturbation theories...