Due to a basic ambiguity in the p → 0 limit of the connected propagator, the conventional singlet Higgs boson of spontaneously broken theories is not a purely massive field but has a gap-less branch. This dominates the energy spectrum for p → 0 and gives rise to a long-range force. Its natural interpretation is in terms of density fluctuations of the ‘Higgs condensate’ that cannot be treated as...

Spatial evolution game has traditionally assumed that players interact with direct neighbors on a single network, which is isolated and not influenced by other systems. However, this is not fully consistent with recent research identification that interactions between networks play a crucial rule for the outcome of evolutionary games taking place on them. In this work, we introduce the simple g...

The meron-cluster algorithm was previously used to extensively study the physics associated with the spontaneous breaking of a discrete symmetry. We recently discovered that a larger class of models with spontaneous breaking of continuous symmetries can also be simulated using the meron-cluster algorithm. Here we study one of these new models which belongs to the attractive Hubbard model family...

We show that in the simplest theories of spontaneous symmetry breaking one can have a stage of a fast-roll inflation. In this regime the standard slow-roll condition |m2| ≪ H is violated. Nevertheless, this stage can be rather long if |m| is sufficiently small. Fast-roll inflation can be useful for generating proper initial conditions for the subsequent stage of slow-roll inflation in the very ...

We show that in the presense of disruptive selection, spatial distributions of sexually reproducing organisms with local mating neighborhoods give rise to symmetry breaking and spontaneous pattern formation in the genetic composition of local populations. Global dynamics follows conventional coarsening of systems with non-conserved order parameters in statistical physics. These patterns interac...

Motivated by some previous work on fermions on random lattices and by suggestions that impurities could trigger parity breaking in 2d crystals, we have analyzed the spectrum of the Dirac equation on a two dimensional square lattice where sites have been removed randomly — a doped lattice. We have found that the system is well described by a sine-Gordon action. The solitons of this model are the...

This paper considers the possibility of spontaneous transition of aracemic mixture (composed of equal amounts of two enantiomeric species, say L and D) into a monochiral state (in which only one enantiomer, say L, is present). Transitions of this kind have been recently experimentally observed. A plausible approach to this phenomenon is a model put forward by Frank, based on simple laws of ...

The phase diagram of quantum electrodynamics in three space-time dimensions as a function of fermion flavor number N exhibits two well-known phases: at large N > N c the system is in a conformal state with anomalous exponents, while for small N < N c the fermions are expected to develop a dynamical mass due to spontaneous chiral symmetry breaking. Using expansion near the lower critical dimensi...

A simplified Randall-Sundrum-like model in 6 dimensions is discussed. The extra two dimensions correspond to the cone. The effective four-dimensional scalar self-interacting theory is studied at one-loop level. The contributions due to 6-dimensional parameters in four-dimensional beta-functions appear. Using such beta-functions the oneloop effective potential is calculated. The possibility of s...