scholarly journals Ab initio no core calculations of light nuclei and preludes to Hamiltonian quantum field theory

2009 ◽  
Author(s):  
J. P. Vary ◽  
P. Maris ◽  
A. M. Shirokov ◽  
H. Honkanen ◽  
J. Li ◽  
...  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Ab Initio ◽  
Light Nuclei ◽  
Quantum Field

Ab-initio Hamiltonian approach to light nuclei and to quantum field theory

Pramana ◽  
2010 ◽  
Vol 75 (1) ◽  
pp. 39-49
Author(s):  
J. P. Vary ◽  
H. Honkanen ◽  
Jun Li ◽  
P. Maris ◽  
A. M. Shirokov ◽  
...  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Ab Initio ◽  
Light Nuclei ◽  
Quantum Field ◽  
Hamiltonian Approach

scholarly journals QCD on the Lattice

2020 ◽  
pp. 137-262
Author(s):  
Hartmut Wittig
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Ab Initio ◽  
Quantum Chromodynamics ◽  
Lattice Qcd ◽  
Strong Interaction ◽  
Quantum Field ◽  
Low Energies ◽  
Lattice Approach ◽  
Established Technique

AbstractSince Wilson’s seminal papers of the mid-1970s, the lattice approach to Quantum Chromodynamics has become increasingly important for the study of the strong interaction at low energies, and has now turned into a mature and established technique. In spite of the fact that the lattice formulation of Quantum Field Theory has been applied to virtually all fundamental interactions, it is appropriate to discuss this topic in a chapter devoted to QCD, since by far the largest part of activity is focused on the strong interaction. Lattice QCD is, in fact, the only known method which allows ab initio investigations of hadronic properties, starting from the QCD Lagrangian formulated in terms of quarks and gluons.

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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