Effective field theories of baryons and mesons, or, what do quarks do?

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This thesis is an attempt to understand the properties of the protons, pions and other hadrons in terms of their fundamental building blocks. In the first chapter the author reviews several of the approaches that have already been developed. The Nambu-Jona-Lasinio model offers the classic example of a derivation of meson properties from a quark Lagrangian. The chiral quark model encodes much of the intuition acquired in recent decades. The author also discusses the non-linear sigma model, the Skyrme model, and the constituent quark model, which is one of the oldest and most successful models. In the constituent quark model, ... continued below

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91 p.

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Keaton, G.L. June 26, 1995.

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  • Keaton, G.L. Lawrence Berkeley Lab., CA (United States). Theoretical Physics Group

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Description

This thesis is an attempt to understand the properties of the protons, pions and other hadrons in terms of their fundamental building blocks. In the first chapter the author reviews several of the approaches that have already been developed. The Nambu-Jona-Lasinio model offers the classic example of a derivation of meson properties from a quark Lagrangian. The chiral quark model encodes much of the intuition acquired in recent decades. The author also discusses the non-linear sigma model, the Skyrme model, and the constituent quark model, which is one of the oldest and most successful models. In the constituent quark model, the constituent quark appears to be different from the current quark that appears in the fundamental QCD Lagrangian. Recently it was proposed that the constituent quark is a topological soliton. In chapter 2 the author investigates this soliton, calculating its mass, radius, magnetic moment, color magnetic moment, and spin structure function. Within the approximations used, the magnetic moments and spin structure function cannot simultaneously be made to agree with the constituent quark model. In chapter 3 the author uses a different plan of attack. Rather than trying to model the constituents of the baryon, he begins with an effective field theory of baryons and mesons, with couplings and masses that are simply determined phenomenologically. Meson loop corrections to baryon axial currents are then computed in the 1/N expansion. It is already known that the one-loop corrections are suppressed by a factor 1/N; here it is shown that the two-loop corrections are suppressed by 1/N{sup 2}. To leading order, these corrections are exactly the same as would be calculated in the constituent quark model. This method therefore offers a different approach to the constituent quark.

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91 p.

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INIS; OSTI as DE95016440

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  • Other Information: TH: Thesis (Ph.D.)

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  • Other: DE95016440
  • Report No.: LBL--37440
  • Grant Number: AC03-76SF00098
  • DOI: 10.2172/95261 | External Link
  • Office of Scientific & Technical Information Report Number: 95261
  • Archival Resource Key: ark:/67531/metadc793371

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  • June 26, 1995

Added to The UNT Digital Library

  • Dec. 19, 2015, 7:14 p.m.

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  • Feb. 20, 2017, 12:37 p.m.

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Keaton, G.L. Effective field theories of baryons and mesons, or, what do quarks do?, report, June 26, 1995; California. (digital.library.unt.edu/ark:/67531/metadc793371/: accessed December 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.