Phys. Rev. D 43, 566–579 (1991)Method of loops applied to lattice gauge theoryReceived 20 September 1990; published in the issue dated 15 January 1991 The eigenvalue problem for the Hamiltonian of SU(2) lattice gauge theory is formulated in the loop representation, which is based on the fact that the physical Hilbert space can be spanned by states which are labeled by loops. Since the inner product between loop states can be calculated analytically, the eigenvalue problem is expressed in terms of vector components and matrix elements with respect to the loop basis. A small-scale numerical computation in 2+1 dimensions yields results which agree with results obtained from other methods. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.43.566
DOI:
10.1103/PhysRevD.43.566
PACS:
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.