Weak-coupling expansion of the low-lying energy values in the SU(2) gauge theory on a torus |
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| Authors: | M Lüscher G Münster |
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| Institution: | Institut für Theoretische Physik, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland |
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| Abstract: | Relying on analytic results obtained previously, we complete the one-loop computation of the low-lying energy values of the SU(2) gauge theory in an L × L × L periodic box. The expansions are then rewritten in terms of the universal parameter z = M(0+) · L (M(0+): energy gap in the Jp = 0+ sector). We find that the crossover from small-volume to large-volume behaviour is likely to take place at z ? 2. Furthermore, near the crossover, the lowest energy levels (above the ground state) in the 0+ sector and the 2+ sector are practically degenerate. In each of these sectors there is one more state at about 1.5 · M(0+). In the 0? sector, on the other hand, the lowest energy value is greater than 3 · M(0+). |
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