ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We study the decompositionA=A I +A SW of aU(1) lattice gauge field into instanton and spin wave parts. The action also decomposes,A=A I +A SW +R. HereA I is a Coulomb dipole gas,A SW is a zero mass free field, andR is a higher order remainder. We studyA I in detail, ford≧4, in the dilute gas case (which corresponds to the low temperature limit of the gauge field theory). We establish the leading behavior of the free energy:f ∼ ɛ−d aζ. Here ɛ is the lattice spacing,a is a geometrical constant and ζ is an activity defined in terms of a small number of instanton configurations. Our methods suggest the absence of screening in the dilute dipole gas,d≧4, in contrast to Debye screening for the dilute monopole gas.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01614208
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