Nonperturbative Quantum Field Evolution

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".Â Â

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Quantum field theory

Physics Subject Headings (PhySH) ◽

10.29172/ee82ad04-6c47-46a4-a70d-c9a7d7989f6a ◽

2018 ◽

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Quantum Field

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Towards evolutionary agroecology

INTERdisciplina ◽

10.22201/ceiich.24485705e.2018.14.63380 ◽

2018 ◽

Vol 6 (14) ◽

pp. 51 ◽

Cited By ~ 1

Author(s):

Kristin L. Mercer

Keyword(s):

Social Dynamics ◽

Agricultural Systems ◽

Short Term ◽

Ecological Processes ◽

Genetic Analyses ◽

Holistic Perspective ◽

Evolutionary Study ◽

Quantitative Genetic ◽

Field Evolution

Agroecology derives much of its strength from interactions between disciplines that produce a holistic perspective on agricultural systems and issues. Although ongoing integration of social dynamics into agroecology has strengthened the field, evolution and genetics have not been embraced to the same degree, despite the fact that they have been are discussed in some common agroecology texts. I argue that the field of agroecology could extend its reach and depth by embracing the evolutionary study of agroecosystems. Areas of evolutionary inquiry with relevance to agriculture focus on long or short term processes, encompass a range of scales, incorporate molecular or quantitative genetic analyses, and explore ecological processes to differing degrees.

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Some remarks on a deformed quantum field theory

10.22323/1.008.0031 ◽

2002 ◽

Author(s):

Marco Aurelio Do Rego Monteiro ◽

V. B. Bezerra ◽

E. M.F. Curado

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Quantum Field

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Global symmetries and Noether’s theorem

10.1093/oso/9780198802877.003.0005 ◽

2018 ◽

Author(s):

Michael Kachelriess

Keyword(s):

Global Symmetries ◽

Symmetry Transformation ◽

Vacuum Expectation ◽

Vacuum Expectation Value ◽

Quantum Field ◽

Expectation Value ◽

Minkowski Space Time ◽

Integral Measure ◽

Colour Charge ◽

Internal Symmetries

Noethers theorem shows that continuous global symmetries lead classically to conservation laws. Such symmetries can be divided into spacetime and internal symmetries. The invariance of Minkowski space-time under global Poincaré transformations leads to the conservation of the four-momentum and the total angular momentum. Examples for conserved charges due to internal symmetries are electric and colour charge. The vacuum expectation value of a Noether current is shown to beconserved in a quantum field theory if the symmetry transformation keeps the path-integral measure invariant.

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