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G. Amelino-Camelia

Publications and source records attributed to G. Amelino-Camelia.

49 records · Page 3Linked to original sources

Area-preserving Structure and Anomalies in 1+1-dimensional Quantum Gravity

We investigate the gauge-independent Hamiltonian formulation and the anomalous Ward identities of a matter-induced 1+1-dimensional gravity theory invariant under Weyl transformations and area-preserving diffeomorphisms, and compare the results to the ones for the conventional diffeomorphism-invariant theory. We find that, in spite of several technical differences encountered in the analysis, the two theories are essentially equivalent.

hep-th↗

Schroedinger Self-adjoint Extension and Quantum Field Theory

We argue that the results obtained using the quantum mechanical method of self-adjoint extension of the Schrödinger Hamiltonian can also be derived using Feynman perturbation theory in the investigation of the corresponding non-relativistic field theories. We show that this is indeed what happens in the study of an anyon system, and, in doing so, we establish a field theoretical description for ``colliding anyons", {\it i.e.} anyons whose quantum mechanical wave functions satisfy the non-conventional boundary conditions obtained with the method of self-adjoint extension. We also show that analogous results hold for a system of non-abelian Chern-Simons particles.

hep-th↗

Perturbative Renormalizations of Anyon Quantum Mechanics

In bosonic end perturbative calculations for quantum mechanical anyon systems a regularization and renormalization procedure, analogous to those used in field theory, is necessary. I examine the reliability and the physical interpretation of the most commonly used bosonic end regularization procedures. I then use the regularization procedure with the most transparent physical interpretation to derive some bosonic end perturbation theory results on anyon spectra, including a 3-anyon ground state energy.

hep-th↗

Majorana Masses for Neutrinos in SO(10)

We study the predictions for Majorana masses for neutrinos in SO(10) grandunification models. (This paper precedes and is cited in the article "PROTON DECAY AND NEUTRINO MASSES IN SO(10)", hep-ph/9405332)

hep-ph↗

Proton Decay and Neutrino Masses in SO(10)

In the last few years physicists have been looking at $SO(10)$ GUT models with renewed attention because it has been realized that the SU(5) minimal model cannot unify the strong, electromagnetic and weak interactions in a way consistent with the experimental values of $α(M_Z)$, $\si$ and $α_S(M_Z)$. In this paper we derive lower limits on neutrino masses, relevant for cosmology and for the solar-neutrino problem, from necessary consistency conditions on a class of $SO(10)$ models with $\sq$ or $\stt$ intermediate gauge symmetry.

hep-ph↗

Perturbative Bosonic End Anyon Spectra and Contact Interactions

Bosonic end perturbative calculations for quantum mechanical anyon systems require a regularization. I regularize by adding a specific $δ$-function potential to the Hamiltonian. The reliability of this regularization procedure is verified by comparing its results for the 2-anyon in harmonic potential system with the known exact solutions. I then use the $δ$-function regularized bosonic end perturbation theory to test some recent conjectures concerning the unknown portion of the many-anyon spectra.

hep-th↗

On the Nature of the Abelian Higgs Model Phase Transition

The nature of the Abelian Higgs Model phase transition is investigated. A variational approximation is used in the evaluation of the relevant finite temperature effective potential. Some of the results presented are valid not only in the Abelian Higgs Model, but also in more complex theories.

hep-ph↗

Self-consistent Improvement of the Finite Temperature Effective Potential

We present a self-consistent calculation of the finite temperature effective potential for $λϕ^4$ theory, using the composite operator effective potential in which an infinite series of the leading diagrams is summed up. Our calculation establishes the proper form of the leading correction to the perturbative one-loop effective potential.

hep-ph↗