scholarly journals IMPROVEMENTS ON THE PERTURBED HARMONIC OSCILLATOR LADDER OPERATORS METHOD IN THE NON LINEAR QUANTUM FIELD THEORY AND THE LASER THEORY

1989 ◽  
Vol 38 (6) ◽  
pp. 879
Author(s):  
LI FU-BIN
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Harmonic Oscillator ◽  
Quantum Field ◽  
Ladder Operators ◽  
Laser Theory ◽  
Non Linear ◽  
Linear Quantum

scholarly journals Non-linear quantum field theory

1978 ◽  
Vol 8 (1-2) ◽  
pp. 341-370 ◽  
Author(s):  
Brosl Hasslacher ◽  
André Neveu
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Non Linear ◽  
Linear Quantum

THE CLASSICAL HARMONIC OSCILLATOR ON GALOIS AND P-ADIC FIELDS

1989 ◽  
Vol 04 (09) ◽  
pp. 2211-2233 ◽  
Author(s):  
YANNICK MEURICE
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Difference Equation ◽  
Harmonic Oscillator ◽  
Continuum Limit ◽  
The Other ◽  
Quantum Field ◽  
Real Numbers ◽  
Technical Tool ◽  
Classical Motion

Starting from a difference equation corresponding to the harmonic oscillator, we discuss various properties of the classical motion (cycles, conserved quantity, boundedness, continuum limit) when the dynamical variables take their values on Galois or p-adic fields. We show that these properties can be applied as a technical tool to calculate the motion on the real numbers. On the other hand, we also give an example where the motions over Galois and p-adic fields have a direct physical interpretation. Some perspectives for quantum field theory and strings are briefly discussed.

scholarly journals CONSTRUCTION OF A NON-STANDARD QUANTUM FIELD THEORY USING GENERALIZED HEISENBERG ALGEBRA

2002 ◽  
Vol 17 (05) ◽  
pp. 661-673 ◽  
Author(s):  
M. A. REGO-MONTEIRO ◽  
E. M. F. CURADO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Heisenberg Algebra ◽  
Quantum Field ◽  
Ladder Operators ◽  
Standard Quantum ◽  
Heisenberg Type ◽  
Klein Gordon ◽  
Square Well ◽  
The One

We herein construct a Heisenberg-like algebra for the one-dimensional quantum free Klein–Gordon equation defined on the interval of the real line of length L. Using the realization of the ladder operators of this Heisenberg-type algebra in terms of physical operators we build a (3+1)-dimensional free quantum field theory based on this algebra. We introduce fields written in terms of the ladder operators of this Heisenberg-type algebra and a free quantum Hamiltonian in terms of these fields. The mass spectrum of the physical excitations of this quantum field theory is given by [Formula: see text], where n=1,2,… and mq is the mass of a particle in a relativistic infinite square-well potential of width L.

scholarly journals PROOF OF TRIVIALITY OF λϕ4 THEORY

2007 ◽  
Vol 22 (13) ◽  
pp. 2433-2439 ◽  
Author(s):  
MARCO FRASCA
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Harmonic Oscillator ◽  
Strong Coupling ◽  
Renormalization Constant ◽  
Strong Coupling Limit ◽  
Recent Analysis ◽  
Quantum Field ◽  
Yang Mills

We show that a recent analysis in the strong coupling limit of the λϕ4 theory proves that this theory is indeed trivial giving in this limit the expansion of a free quantum field theory. We can get in this way the propagator with the renormalization constant and the renormalized mass. As expected the theory in this limit has the same spectrum as a harmonic oscillator. Some comments about triviality of the Yang–Mills theory in the infrared are also given.

Sign in / Sign up

Export Citation Format

Share Document