DIFFICULTY OF BOUND STATE PROBLEMS IN RELATIVISTIC QUANTUM FIELD THEORY

1998 ◽  
Vol 13 (02) ◽  
pp. 87-89
Author(s):  
KUNIO YAMAMOTO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Relativistic Quantum ◽  
Bound State ◽  
Quantum Field ◽  
Relativistic Quantum Field Theory ◽  
Guiding Principle ◽  
Physical Amplitude ◽  
Feynman Rules ◽  
The Way

In the previous paper, it has been pointed out that, for any model with real bound state in relativistic quantum field theory, Feynman rules do not give the physical amplitude in which the effects of real bound state are considered. By investigating this fact, it is found that an important guiding principle indispensable to discuss real bound state problems is unknown. The way to investigate this principle is not within the framework of relativistic quantum field theory.

Perturbation Expansion: Is it Asymptotic?

1997 ◽  
Vol 12 (32) ◽  
pp. 2399-2406 ◽  
Author(s):  
Kunio Yamamoto
Keyword(s):  
Field Theory ◽  
Relativistic Quantum ◽  
Perturbation Expansion ◽  
Bound State ◽  
Quantum Field ◽  
Nonrelativistic Quantum ◽  
Relativistic Quantum Field Theory ◽  
Physical Amplitude ◽  
Feynman Rules ◽  
Nonrelativistic Quantum Mechanics

It is pointed out that, for any model with bound state, contrary to the case of nonrelativistic quantum mechanics, perturbation expansion based on Feynman rules in relativistic quantum field theory is not asymptotic of physical amplitude in which the effects of bound state are considered.

The Norms of Multimass States in Relativistic Quantum Field Theory

1974 ◽  
Vol 52 (20) ◽  
pp. 1988-1994 ◽  
Author(s):  
Roger Palmer ◽  
Yasushi Takahashi
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Relativistic Quantum ◽  
Bound State ◽  
Quantum Field ◽  
Relativistic Quantum Field Theory ◽  
Negative Norm ◽  
Quantum Numbers ◽  
Multimass System ◽  
Dynamical Origin

We examined the problem of the appearance of negative norm states in multimass models. It is shown explicitly how the bound state with the same quantum numbers as the elementary meson, can acquire the positive norm. It is inferred from our argument that the multimass system of dynamical origin can be quantized without the negative norm, contrary to the multimass system of kinematical origin.

scholarly journals Resonance Electroproduction and the Origin of Mass

2020 ◽  
Vol 241 ◽  
pp. 02008
Author(s):  
Craig D. Roberts
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Relativistic Quantum ◽  
Bound State ◽  
Quantum Field ◽  
Relativistic Quantum Field Theory ◽  
State Problem ◽  
The Standard Model ◽  
Bound State Problem ◽  
The Continuum

One of the greatest challenges within the Standard Model is to discover the source of visible mass. Indeed, this is the focus of a “Millennium Problem”, posed by the Clay Mathematics Institute. The answer is hidden within quantum chromodynamics (QCD); and it is probable that revealing the origin of mass will also explain the nature of confinement. In connection with these issues, this perspective will describe insights that have recently been drawn using contemporary methods for solving the continuum bound-state problem in relativistic quantum field theory and how they have been informed and enabled by modern experiments on nucleon-resonance electroproduction.

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