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Theoretical Physics Theoretical Physics
"... The research carried out by the members of the theory group covers a rather wide range of topics as for example: particle physics ( new approaches to go beyond the standard model, QCD with confinement from an effective field theoretical approach), hadron physics (chiral perturbation theory), neutrin ..."
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The research carried out by the members of the theory group covers a rather wide range of topics as for example: particle physics ( new approaches to go beyond the standard model, QCD with confinement from an effective field theoretical approach), hadron physics (chiral perturbation theory
Theoretical Physics
"... Local functional equation of the nonlinear sigma model symmetric subtraction. As an example, we have given the complete set of counterterms at one loop level in terms of the coefficients of seven invariants. Moreover it turns out that the functional equation encodes a hierarchy among the amplitudes: ..."
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Local functional equation of the nonlinear sigma model symmetric subtraction. As an example, we have given the complete set of counterterms at one loop level in terms of the coefficients of seven invariants. Moreover it turns out that the functional equation encodes a hierarchy among the amplitudes: once the ancestor amplitudes are known, all the remaining amplitudes can be obtained by functional differentiation of the functional equation itself. We then show that the proposed subtraction procedure is symmetric, i.e. yields finite amplitudes fulfilling the defining functional equation.This has been checked at oneloop level in [1,2]. At higher orders in the loop expansion the bilinear term of the functional equation for the 1PI generating functional yields nontrivial contributions depending on lowerorder 1PI Green functions. By using Quantum Action Principle arguments we have checked up to two loop level [3] that the subtraction procedure yields indeed finite amplitudes satisfying the functional equation (but the recursive method can be applied to all orders). After having established the consistency of the subtraction procedure, the theory looks promising and one can think of possible phenomenological applications. The relation between the large mass limit (at fixed coupling constant) of the linear sigma model and the nonlinear sigma model in the proposed subtraction scheme is currently under investigation. The extension of the subtraction procedure to the Stueckelberg model for nonabelian massive gauge bosons will also be investigated.
Theoretical Physics
, 2001
"... Large Isospin mixing in φ radiative decay and the spatial size of the f0(980) − a0(980) mesons ..."
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Large Isospin mixing in φ radiative decay and the spatial size of the f0(980) − a0(980) mesons
Theoretical Physics
, 1993
"... ABSTRACT: The mean area of twodimensional unpressurised vesicles, or selfavoiding loops of fixed length N, behaves for large N as A0 N3/2, while their mean square radius of gyration behaves as R2 0 N3/2. The amplitude ratio A0/R2 0 is computed exactly and found to equal 4π/5. The physics of the pr ..."
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ABSTRACT: The mean area of twodimensional unpressurised vesicles, or selfavoiding loops of fixed length N, behaves for large N as A0 N3/2, while their mean square radius of gyration behaves as R2 0 N3/2. The amplitude ratio A0/R2 0 is computed exactly and found to equal 4π/5. The physics
Theoretical Physics
"... Abstract These lectures give an introduction to the methods of conformal field theory as applied to deriving certain results in twodimensional critical percolation: namely the probability that there exists at least one cluster connecting two disjoint segments of the boundary of a simply connected r ..."
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these kinds of result. \Lambda Lectures delivered in "New Trends of Mathematical Physics and Probability Theory", Chuo University, Bunkyoku, Tokyo, March 56, 2001. 1 Introduction. The percolation problem has for many years been of great interest to theoretical physicists and mathematicians
The Theoretical Physics
, 2008
"... Recently Pedro F. GonzálezDíaz had shown that phantom energy can results in achronal cosmic future where the wormholes become infinite before the occurrence of the big rip singularity. After that, while the phantom energy continues its accretion, any wormhole becomes the EinsteinRosen bridge. Pedr ..."
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Recently Pedro F. GonzálezDíaz had shown that phantom energy can results in achronal cosmic future where the wormholes become infinite before the occurrence of the big rip singularity. After that, while the phantom energy continues its accretion, any wormhole becomes the EinsteinRosen bridge. Pedro F. GonzálezDíaz has suggested that such objects can be used by an advanced civilization as the means of escape from the big rip. Using the Bekenstein Bound we’ll show that it is impossible due to the very strong upper bound laid on the total amount of information which can be sent through this bridge. PACS numbers: 98.80.Hw, 04.70.s The cosmology nowadays is amazingly abundant with a new startling solutions. Some of the most recent ones are the models with the ”Phantom fields ” which result in the violation of the weak energy condition (WEC) ρ> 0, ρ + p/c 2> 0 [1], [2], where ρ is the fluid density and p is the pressure. Such phantom fields, as follows from their quantum theory [3], should inevitably be described by the scalar field with the negative kinetic term. The through investigations shows that such fields are apparently could not be considered as a fundamental objects. However, it is possible that the Lagrangians with the negative kinetic terms will appear as some kind of effective models, as it happens in some models of supergravity [4] and in the gravity theories with highest derivatives [5]. Finally, the ”phantom energy ” in the brane theory was considered in [6]. The particular interest to models with the phantom fields is caused by their prediction of socalled ”Cosmic Doomsday ” alias big rip [1] (see also [7]). In case of the phantom energy we have w = p/(c 2 ρ) = −1 − ǫ with ǫ> 0. Integration of the EinsteinFriedmann equation for the flat universe results in a0 a(t) =,
Theoretical Physics
, 801
"... Abstract. The history of the discovery of electron spin and the Pauli principle and the mathematics of spin and quantum statistics are reviewed. Pauli’s theory of the spinning electron and some of its many applications in mathematics and physics are considered in more detail. The role of the fact th ..."
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Abstract. The history of the discovery of electron spin and the Pauli principle and the mathematics of spin and quantum statistics are reviewed. Pauli’s theory of the spinning electron and some of its many applications in mathematics and physics are considered in more detail. The role of the fact
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