SCALING LIMIT FOR A GENERAL CLASS OF QUANTUM FIELD MODELS AND ITS APPLICATIONS TO NUCLEAR PHYSICS AND CONDENSED MATTER PHYSICS

2007 ◽  
Vol 10 (01) ◽  
pp. 43-65 ◽  
Author(s):  
AKITO SUZUKI
Keyword(s):  
Theoretical Model ◽  
Nuclear Physics ◽  
Nuclear Force ◽  
Condensed Matter ◽  
Scaling Limit ◽  
Interaction Model ◽  
Spin Interaction ◽  
Quantum Field ◽  
Lattice Spin System ◽  
Field Theoretical Model

We consider a scaling limit of the Hamiltonian of the generalized spin-boson (GSB) model which is an abstract quantum field theoretical model of particles interacting with a Bose field. Applying it to a Hamiltonian of the field of the nuclear force with isospin, we obtain an effective potential of the interaction between nucleons. Also, we discuss an application to a Hamiltonian of a lattice spin system interacting with a Bose field and obtain a spin–spin interaction in the vacuum of the Bose field. An interaction model between a Fermi field and a Bose field yields an interaction in the vacuum of the Bose field.

scholarly journals SCALING LIMIT FOR A GENERALIZATION OF THE NELSON MODEL AND ITS APPLICATION TO NUCLEAR PHYSICS

2007 ◽  
Vol 19 (02) ◽  
pp. 131-155 ◽  
Author(s):  
AKITO SUZUKI
Keyword(s):  
Nuclear Physics ◽  
Degrees Of Freedom ◽  
Nuclear Force ◽  
Effective Interaction ◽  
Scaling Limit ◽  
Interaction Model ◽  
Exchange Potential ◽  
Nelson Model ◽  
The One ◽  
Internal Degrees Of Freedom

We study a mathematically rigorous derivation of a quantum mechanical Hamiltonian in a general framework. We derive such a Hamiltonian by taking a scaling limit for a generalization of the Nelson model, which is an abstract interaction model between particles and a Bose field with some internal degrees of freedom. Applying it to a model for the field of the nuclear force with isospins, we obtain a Schrödinger Hamiltonian with a matrix-valued potential, the one pion exchange potential, describing an effective interaction between nucleons.

scholarly journals A study of the vector meson ψ(4040)

2019 ◽  
Vol 199 ◽  
pp. 04013
Author(s):  
M. Piotrowska ◽  
F. Giacosa
Keyword(s):  
Theoretical Model ◽  
Vector Meson ◽  
Spectral Function ◽  
Complex Plane ◽  
Quantum Field ◽  
Vector State ◽  
Frame Work ◽  
Field Theoretical Model

We investigate the well-known $c\overline c $ vector state ψ(4040) in the frame-work of a quantum field theoretical model. In particular, we study its spectral function and search for the pole(s) in the complex plane. Quite interestingly, the spectral function has a non-standard shape and two poles are present. The role of the meson-meson quantum loops (in particular DD* ones) is crucial and could also explain the not yet conformed “state” Y(4008).

Momentum space techniques for curved space–time quantum field theory

1979 ◽  
Vol 367 (1728) ◽  
pp. 123-141 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Momentum Space ◽  
Nuclear Physics ◽  
Space Time ◽  
Coordinate Space ◽  
Quantum Field ◽  
Curved Space ◽  
Time Quantum ◽  
Space Formulation

A momentum space formulation of curved space–time quantum field theory is presented. Such a formulation allows the riches of momentum space calculational techniques already existing in nuclear physics to be exploited in the application of quantum field theory to cosmology and astrophysics. It is demonstrated that one such technique can allow exact, or very accu­rate approximate, results to be obtained in cases which are intractable in coordinate space. An efficient method of numerical solution is also described.

MAGNETIZATION OF THE PURE STATES IN THE p-SPIN INTERACTION MODEL

2004 ◽  
Vol 18 (04n05) ◽  
pp. 773-784
Author(s):  
M. TALAGRAND
Keyword(s):  
Low Temperature ◽  
Finite Number ◽  
Interaction Model ◽  
Spin Interaction ◽  
Rigorous Proof ◽  
Pure States ◽  
Number Of Cells

We study the magnetization of the pure states in (a suitable version of) the p-spin interaction model at low temperature. We give a rigorous proof of the phenomenon, discovered in 1 that (very roughly speaking), at a given level of accuracy, the set of sites decomposes in a finite number of cells on which the magnetization of any different pure states are uncorrelated.

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