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Semianalytical Calculation of the O⁺⁺ Glueball Mass in Su(2) Gauge Theory


Kolawa, Adam (1986) Semianalytical Calculation of the O⁺⁺ Glueball Mass in Su(2) Gauge Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z4HC-3T81.


An attempt is made to derive and to solve the Schrodinger equation in the low energy region (vacuum, first excitation etc.) of the lattice. The complete orthonormal basis in the physical Hilbert space is constructed by classifying independent solutions of the Gauss' law. Loops of electric flux are chosen as elementary variables. The loop space Hamiltonian is derived, an ansatz is made for the low-energy wave functionals and the Schrodinger equation is solved in the (truncated) loop basis.

The resulting physical picture for the Yang-Mills vacuum in the cross-over region is that of, still quite dilute, gas of fluctuating loops. The glueball in this formalism looks like a local inhomogeneity in the loop distribution. A definite candidate for the confining force emerges: the repulsive non-Abelian loop-loop interaction (rather weak but persistent) generates an effective external field ("external pressure") prohibiting unbounded loop size fluctuations. The negative sign (repulsion) is universal for all compact groups.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Fox, Geoffrey C.
Thesis Committee:
  • Fox, Geoffrey C. (chair)
  • Porter, Frank C.
  • Prince, Thomas A.
  • Wise, Mark B.
  • Furmanski, Wojtek
Defense Date:17 March 1986
Record Number:CaltechETD:etd-12072004-144217
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4826
Deposited By: Imported from ETD-db
Deposited On:07 Dec 2004
Last Modified:20 Dec 2019 19:51

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PDF (Kolawa_a_1986.pdf) - Final Version
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