scholarly journals The Friedrichs-Lee Model and Its Singular Coupling Limit

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 17 ◽  
Author(s):  
Davide Lonigro ◽  
Paolo Facchi ◽  
Marilena Ligabò
Keyword(s):  
Form Factor ◽  
Theoretical Model ◽  
Bosonic Field ◽  
Lee Model ◽  
Field Coupling ◽  
Mathematical Properties ◽  
Rigorous Description ◽  
Singular Coupling Limit ◽  
Integrable Form ◽  
Field Theoretical Model

Lee’s field-theoretical model describes the interaction between a qubit and a structured bosonic field. We study the mathematical properties of the Hamiltonian of the single-excitation sector of the theory, including a possibly “singular” qubit-field coupling (i.e., mediated by a non-square integrable form factor). This result allows for a rigorous description of qubit-field interactions in many physically interesting systems and may be extended to higher-excitation sectors of the theory.

Zur Interpretierbarkeit einer Quantentheorie mit indefiniter Metrik

1962 ◽  
Vol 17 (5) ◽  
pp. 382-399
Author(s):  
Rolf Hüper
Keyword(s):  
Boundary Condition ◽  
Quantum Theory ◽  
Theoretical Model ◽  
Bound States ◽  
Indefinite Metric ◽  
Probability Interpretation ◽  
Lee Model ◽  
Field Theoretical Model

A special field theoretical model is constructed to study the problem of probability interpretation of a quantum theory with indefinite metric. The model is based on the HEISENBERG dipole-ghost version of the LEE model, but with an additional V Θ-interaction. This interaction yields bound states in the sector N+2 Θ. One gets a situation similar to a case studied by PAULI and KÄLLÉN. It seems that the arising difficulty can be solved only by means of a boundary condition suggested by BOGOLIUBOV. However, such a condition excludes the possibility of interpreting our bound states as “physically realizable” states.

Field theoretical model for nuclear and neutron matter. V - Slowly rotating warm cores in neutron stars

1992 ◽  
Vol 395 ◽  
pp. 612 ◽  
Author(s):  
Jose V. Romero ◽  
J. Diaz Alonso ◽  
Jose M. Ibanez ◽  
Juan A. Miralles ◽  
Armando Perez
Keyword(s):  
Theoretical Model ◽  
Neutron Stars ◽  
Neutron Matter ◽  
Field Theoretical Model

Note on "Lifetime Effects in Coupled Channel Problems"

1974 ◽  
Vol 52 (24) ◽  
pp. 2506-2508
Author(s):  
Koichi Nakamura
Keyword(s):  
Theoretical Model ◽  
Unstable Particle ◽  
Self Energy ◽  
Lifetime Effects ◽  
Coupled Channel ◽  
Particle Propagator ◽  
Field Theoretical Model

The simple field theoretical model of coupled channel problems proposed by Kamal and Kreuzer is solved in the Tamm-Dancoff approximation. Some comments are made on their method of inclusion of self energy effects in the unstable particle propagator.

scholarly journals A FIELD THEORETICAL MODEL IN NONCOMMUTATIVE MINKOWSKI SUPERSPACE

2005 ◽  
Vol 20 (15) ◽  
pp. 3495-3501 ◽  
Author(s):  
VAHAGN NAZARYAN ◽  
CARL E. CARLSON
Keyword(s):  
Theoretical Model ◽  
String Theory ◽  
Minkowski Space ◽  
Star Product ◽  
Minkowski Formula ◽  
Field Theoretical Model ◽  
Chiral Superfields

In this talk we present a field theoretical model constructed in Minkowski [Formula: see text] superspace with a deformed supercoordinate algebra. Our study is motivated in part by recent results from super-string theory, which show that in a particular scenario in Euclidean superspace the spinor coordinates θ do not anticommute. Field theoretical consequences of this deformation were studied in a number of articles. We present a way to extend the discussion to Minkowski space, by assuming non-vanishing anticommutators for both θ, and [Formula: see text]. We give a consistent supercoordinate algebra, and a star product that is real and preserves the (anti)chirality of a product of (anti)chiral superfields. We also give the Wess-Zumino Lagrangian [Formula: see text] that gains only Lorentz-invariant corrections due to non(anti)commutativity within our model. The Lagrangian in Minkowski superspace is also always manifestly Hermitian.

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