scholarly journals An essay of a systemic reading that can support a paradigm shift

2020 ◽  
Vol 3 ◽  
pp. 95-104
Author(s):  
Andrée Piecq ◽  
Claude Lambert

The observation of the “observed behaviors in action” is a complex act. Observation without evaluation of a single fact, except being in a solipsistic approach, can be seen as a relatively simple operation that allows a median intersubjective agreement. When the mission is to report of operative's phenomena that should lead, by consensus, to an assessment, we are in the presence of tensions. This evaluation will implement abstractions needed for the operation of the phenomena’s representations. These abstractions make use of concepts whose meaning can only be understood only in relation to its opposite: cold - hot, open - closed, operating – non-operating. Common sense tells us that the assessment is not a matter of choice between one of the words but need a gradation. Based on this observation (many times repeated by others before us), we are led to revisit our systems approach. It appears obvious to us that the approach to the entities’ identification that is connected to form a coherent whole is not sufficient. We must adopt an approach whose foundation may account for the processes, movements and tensions. Our study focused of the field theory. This brings us in the heart of a paradox: continuous-discrete. The same paradox has stimulated research in quantum field using particle and wave relation.

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam

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".  


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

Author(s):  
Michael Kachelriess

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.


Author(s):  
Sauro Succi

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.


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