The nucleon-nucleon potential in quantum field theory — I.

1961 ◽  
Vol 20 (S2) ◽  
pp. 157-220 ◽  
Author(s):  
R. Cirelli ◽  
G. Stabilini
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Nucleon Nucleon ◽  
Quantum Field ◽  
Nucleon Potential

The Few-Body Problem in Nonrelativistic Quantum Field Theory

1973 ◽  
Vol 51 (17) ◽  
pp. 1861-1868
Author(s):  
A. Z. Capri
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Body Problem ◽  
Nucleon Nucleon ◽  
Field Theories ◽  
Quantum Field ◽  
Nonrelativistic Quantum ◽  
N Body Problem ◽  
Dependent Potential ◽  
Energy Dependent

We utilize the fact that the nonrelativistic second-quantized formalism is simply a compact way of stating the n-body problem for arbitrary n, to derive the Schrödinger equations for few-body problems. This is particularly useful for models resulting from field theories in which a field is coupled to itself via another field, as in the case of nucleon–nucleon coupling via mesons. In this latter case, one obtains an effective nonlocal, energy dependent potential which itself depends on the possible states of the system.

SELF AND EXTERNAL MESON FIELDS

1959 ◽  
Vol 37 (4) ◽  
pp. 515-520
Author(s):  
R. T. Sharp
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Vector Field ◽  
Nucleon Nucleon ◽  
Quantum Field ◽  
Nucleon Interaction ◽  
General Applicability ◽  
Associated Production ◽  
K Mesons ◽  
Nucleon Nucleon Interaction

Instead of a single (isotopic vector) field to describe pions, it is sometimes advantageous to introduce several such fields with identical properties except for their coupling to the sources of the field (the baryons). In this way one can formally distinguish between self pions (roughly, those which can be emitted and absorbed by the same baryon) and external pions (roughly, those which are only exchanged between baryons or emitted into or absorbed from free states). K-mesons can be treated similarly. The device, which is of general applicability, simplifies many derivations and calculations in quantum field theory. As an illustration of the method it is used to derive the Low equations for scattering of pions and K-mesons by nucleons and for associated production. A suggestion is made for treating the nucleon–nucleon interaction.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

Some remarks on a deformed quantum field theory

2002 ◽  
Author(s):  
Marco Aurelio Do Rego Monteiro ◽  
V. B. Bezerra ◽  
E. M.F. Curado
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field

Quantum mechanics

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Transition Amplitude ◽  
External Source ◽  
Quantum Field ◽  
Damping Term ◽  
Relativistic Quantum Theory ◽  
Generating Functional

After a brief review of the operator approach to quantum mechanics, Feynmans path integral, which expresses a transition amplitude as a sum over all paths, is derived. Adding a linear coupling to an external source J and a damping term to the Lagrangian, the ground-state persistence amplitude is obtained. This quantity serves as the generating functional Z[J] for n-point Green functions which are the main target when studying quantum field theory. Then the harmonic oscillator as an example for a one-dimensional quantum field theory is discussed and the reason why a relativistic quantum theory should be based on quantum fields is explained.

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