Hamiltonian lattice calculations on gauge and chiral meson field theories

2008 ◽  
pp. 110-126
Author(s):  
Siu A. Chin
Keyword(s):  
Field Theories ◽  
Meson Field ◽  
Hamiltonian Lattice ◽  
Lattice Calculations

scholarly journals A study of the nature of the field theories of the electron and positron and of the meson

1946 ◽  
Vol 185 (1000) ◽  
pp. 14-34 ◽  
Keyword(s):  
Current Density ◽  
Magnetic Moment ◽  
Poynting Vector ◽  
Field Theories ◽  
Meson Field ◽  
Theory Of Relativity ◽  
Magnetic Current ◽  
Additional Degree ◽  
Additional Dimension ◽  
A Current

The field theories of the electron and positron and also of the meson are developed by means of a close analogy with the photon. The analogy consists in the representation of the tracks of these particles by means of null-geodesics. The choice of notation is guided by the attempt to arrive at a theory in which the lengths (h/m 0 c) and (e 2 /m 0 c 2 ) occur naturally without reference to the structure of the particles, and in which the concept of quantization of electric charge is included. It is found that these objects can be attained by assuming that an additional degree of freedom is necessary for the description of the particles. If this is regarded as an additional dimension, it is found that an exact analogy can be made with the field theories familiar in the theory of relativity. An important feature is the union, in a single tensor, of energy, momentum and current density. A certain arbitrariness, not unlike that associated with the Poynting vector, is revealed, and it is shown that if this is removed by making a definite choice of the magnitude of the magnetic moment of the electron and positron, the spin angular momefttum is ^hereby fixed at the value 1/2h. In the development of the meson field the analogy shows* that the nuclear sources of the field act as if contributing a current density analogous to a magnetic current density in the electromagnetic case. The use of the additional degreb of freedom in the sinusoidal form indicates that the ratio of the constants g 1 and g 2 introduced into field theories as measures of the strengths of the sources is determined by the mass of the particle emitted in the neutron-proton transition.

Scaling of the0++Glueball Mass inSU(N)Hamiltonian Lattice Calculations

1986 ◽  
Vol 57 (22) ◽  
pp. 2779-2782 ◽  
Author(s):  
Siu A. Chin ◽  
Chris Long ◽  
D. Robson
Keyword(s):  
Glueball Mass ◽  
Hamiltonian Lattice ◽  
Lattice Calculations

Realizations of chiral transformations: explicit forms

1970 ◽  
Vol 48 (19) ◽  
pp. 2272-2282 ◽  
Author(s):  
John M. Charap
Keyword(s):  
Pseudoscalar Meson ◽  
General Problem ◽  
The Other ◽  
Field Theories ◽  
Meson Field ◽  
Nonlinear Functions ◽  
The One ◽  
Nonlinear Realizations ◽  
Explicit Expressions

The parallel approaches to the general problem of giving nonlinear realizations of chiral SU(n) [Formula: see text]SU(n) appropriate to phenomenological field theories as derived by Callan, Coleman, Wess, and Zumino on the one hand, and by Barnes and Isham on the other, are reviewed and compared. Explicit expressions are given for the nonlinear functions of the pseudoscalar meson field variables which arise in these methods.

Modified propagators in field theory (with application to the anomalous magnetic moment of the nucleon)

1954 ◽  
Vol 223 (1152) ◽  
pp. 112-129 ◽  
Keyword(s):  
Field Theory ◽  
Asymptotic Expansion ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Perturbation Expansion ◽  
Field Theories ◽  
Meson Field ◽  
Coupling Constant ◽  
Zero Coupling ◽  
Better Than

Many attempts have been made to improve upon the perturbation expansion in meson-field theories, one such attempt being the introduction of modified propagators S' F and ∆' F . It is shown in this paper that the introduction of these new propagators (or at least in the form that has been proposed) creates new infinities which cannot be removed by renormalization. These new infinities are due to new complex poles of the modified propagators. A tentative prescription is put forth to get over these new difficulties, but it is still intimately connected with the perturbation expansion. Unfortunately, the prescription does not give an unambiguous answer. A particular S' F is used in the calculation of the anomalous magnetic moment of the nucleon. The results obtained are no better than those of other workers. However, there are many reasons why this may be the case. It is also shown that the subseries which arises in this case leads, at best, to an asymptotic expansion in the coupling constant. The nature of the singularity at zero coupling is found.

EXTENSION OF THE PERIODIC SYSTEM: SUPERHEAVY, SUPERSTRANGE, ANTIMATTER NUCLEI

2011 ◽  
Vol 20 (supp01) ◽  
pp. 263-280 ◽  
Author(s):  
ALEXANDER KARPOV ◽  
VALERY ZAGREBAEV ◽  
WALTER GREINER
Keyword(s):  
Field Theory ◽  
Effective Field Theories ◽  
Nuclear Structure ◽  
Periodic System ◽  
Heavy Ion ◽  
Effective Field ◽  
Field Theories ◽  
Magic Numbers ◽  
Meson Field ◽  
Ion Collisions

The extension of the periodic system into various new areas is investigated. Experiments for the synthesis of superheavy elements and the predictions of magic numbers are reviewed. Further on, investigations on hypernuclei and the possible production of antimatter-clusters in heavy-ion collisions are reported. Various versions of the meson field theory serve as effective field theories at the basis of modern nuclear structure and suggest structure in the vacuum which might be important for the production of hyper- and antimatter.

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