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    •   BracU IR
    • Department of Mathematics and Natural Sciences (MNS)
    • Bachelor of Science in Physics
    • Thesis (Bachelor of Science in Physics)
    • View Item
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    Calculating the pion contribution to nucleon self-energy using chiral effective thermal field theory

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    11311001_Physics.pdf (1.775Mb)
    Date
    2016
    Publisher
    BRAC University
    Author
    Mahbub, Rafid
    Metadata
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    URI
    http://hdl.handle.net/10361/7891
    Abstract
    Effective field theories have proven to be efficient tools for studying physics at length scales longer than that which is typical. Chiral Perturbation Theory is one of these EFTs which physicists rely on heavily to study low energy QCD processes. The primary objective of this thesis is to calculate the nucleon self-energy which arises from the one-pion exchange. Chiral symmetries and spontaneous symmetry breaking schemes are discussed along with the emergence of pions as pseudo-Nambu-Goldstone bosons. Using the nonlinear σmodel, a chiral effective pion-nucleon Lagrangian is derived, which contains the necessary information to produce the nucleon self-energy diagram to the lowest order. In this work, the nucleon self-energy is evaluated using a somewhat simplistic numerical implementation and compared with the result from another source. It is seen that Σ(p) increases with momentum p, however, with large deviations from what should be expected due to the rudimentary computational methods used.
    Keywords
    Pion contribution; Nucleon self-energy; Thermal field theory
     
    Description
    This Thesis is submitted in a partial fulfillment of the requirements for the degree of Bachelor of Science in Physics, 2016
     
    Cataloged from PDF version of internship report.
     
    Includes bibliographical references (page 48-49).
    Department
    Department of Mathematics and Natural Sciences, BRAC University
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    • Thesis (Bachelor of Science in Physics)

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