9,624 research outputs found
Gauge invariance, background fields and modified Ward identities
In this talk the gauge symmetry for Wilsonian flows in pure Yang-Mills
theories is discussed. The background field formalism is used for the
construction of a gauge invariant effective action. The symmetries of the
effective action under gauge transformations for both the gauge field and the
auxiliary background field are separately evaluated. Modified Ward-Takahashi
and background field identities are used in my study. Finally it is shown how
the symmetry properties of the full theory are restored in the limit where the
cut-off is removed.Comment: 6 pages, to appear in the Proceedings of the 2nd Conference on the
Exact Renormalization Group, Rome 200
Confinement of two-dimensional excitons in a non-homogeneous magnetic field
The effective Hamiltonian describing the motion of an exciton in an external
non-homogeneous magnetic field is derived. The magnetic field plays the role of
an effective potential for the exciton motion, results into an increment of the
exciton mass and modifies the exciton kinetic energy operator. In contrast to
the homogeneous field case, the exciton in a non-homogeneous magnetic field can
also be trapped in the low field region and the field gradient increases the
exciton confinement. The trapping energy and wave function of the exciton in a
GaAs two-dimensional electron gas for specific circular magnetic field
configurations are calculated. The results show than excitons can be trapped by
non-homogeneous magnetic fields, and that the trapping energy is strongly
correlated with the shape and strength of the non-homogeneous magnetic field
profile.Comment: 9 pages, 12 figure
Domain wall description of superconductivity
In the present work we shall address the issue of electrical conductivity in
superconductors in the perspective of superconducting domain wall solutions in
the realm of field theory. We take our set up made out of a dynamical complex
scalar field coupled to gauge field to be responsible for superconductivity and
an extra scalar real field that plays the role of superconducting domain walls.
The temperature of the system is interpreted through the fact that the soliton
following accelerating orbits is a Rindler observer experiencing a thermal
bath.Comment: 9 pages, 5 figures, Latex. Version to appear in PL
Exciton trapping in magnetic wire structures
The lateral magnetic confinement of quasi two-dimensional excitons into wire
like structures is studied. Spin effects are take into account and two
different magnetic field profiles are considered, which experimentally can be
created by the deposition of a ferromagnetic stripe on a semiconductor quantum
well with magnetization parallel or perpendicular to the grown direction of the
well. We find that it is possible to confine excitons into one-dimensional (1D)
traps. We show that the dependence of the confinement energy on the exciton
wave vector, which is related to its free direction of motion along the wire
direction, is very small. Through the application of a background magnetic
field it is possible to move the position of the trapping region towards the
edge of the ferromagnetic stripe or even underneath the stripe. The exact
position of this 1D exciton channel depends on the strength of the background
magnetic field and on the magnetic polarisation direction of the ferromagnetic
film.Comment: 10 pages, 7 figures, to be published in J. Phys: Condens. Matte
The role of dissipation in biasing the vacuum selection in quantum field theory at finite temperature
We study the symmetry breaking pattern of an O(4) symmetric model of scalar
fields, with both charged and neutral fields, interacting with a photon bath.
Nagasawa and Brandenberger argued that in favourable circumstances the vacuum
manifold would be reduced from S^3 to S^1. Here it is shown that a selective
condensation of the neutral fields, that are not directly coupled to photons,
can be achieved in the presence of a minimal ``external'' dissipation, i.e. not
related to interactions with a bath. This should be relevant in the early
universe or in heavy-ion collisions where dissipation occurs due to expansion.Comment: Final version to appear in Phys. Rev. D, 2 figures added, 2 new
sub-section
Solving non-perturbative flow equations
Non-perturbative exact flow equations describe the scale dependence of the
effective average action. We present a numerical solution for an approximate
form of the flow equation for the potential in a three-dimensional N-component
scalar field theory. The critical behaviour, with associated critical
exponents, can be inferred with good accuracy.Comment: Latex, 14 pages, 2 uuencoded figure
Charge cross-over at the U(1)-Higgs phase transition
The type-I region of phase transitions at finite temperature of the U(1)-Higgs theory in 3+1 dimensions is investigated in detail using a Wilsonian renormalisation group. We consider in particular the quantitative effects induced through the cross-over of the scale-dependent Abelian charge from the Gaussian to a non-trivial Abelian fixed point. As a result, the strength of the first-order phase transition is weakened. Analytical solutions to approximate flow equations are obtained, and all characteristics of the phase transition are discussed and compared to the results obtained from perturbation theory. In addition, we present a detailed quantitative study regarding the dependence of the physical observables on the coarse-graining scheme. This results in error-bars for the regularisation scheme (RS) dependence. We find quantitative evidence for an intimate link between the RS dependence and truncations of flow equations
Cerebro humano y conocimiento
Si hablamos de órganos vitales vienen a la mente ejemplos tales como el corazón, responsable de que nuestra sangre circule o los pulmones, protagonistas en la respiración. Pero ¿qué hay del cerebro?, ¿sabemos realmente cuáles son sus misiones y por qué son básicas para nuestra existencia
Wilsonian flows and background fields
We study exact renormalisation group flows for background field dependent
regularisations. It is shown that proper-time flows are approximations to exact
background field flows for a specific class of regulators. We clarify the role
of the implicit scale dependence introduced by the background field. Its impact
on the flow is evaluated numerically for scalar theories at criticality for
different approximations and regularisations. Implications for gauge theories
are discussed.Comment: 12 pages, v2: references added. to appear in PL
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