Subject: Condensed Matter | High Energy Physics - Phenomenology | High Energy Physics - Theory
arxiv: High Energy Physics::Theory | High Energy Physics::Lattice
We perform a precise analytic test of the instanton approximation by comparing the exact band spectrum of the periodic Lam\'e potential to the tight-binding, instanton and WKB approximations. The instanton result gives the correct leading behavior in the semiclassical l... View more
 G. 't Hooft, “Symmetry Breaking through Bell-Jackiw Anomalies”, Phys. Rev. Lett. 37, 8 (1976); R. Jackiw and C. Rebbi, “Vacuum Periodicity in a Yang-Mills Quantum Theory”, Phys. Rev. Lett. 37, 172 (1976); C. Callan, R. Dashen and D. Gross, “The Structure of the Gauge Theory Vacuum”, Phys. Lett. B 63, 334 (1976).
 S. Coleman, Aspects of Symmetry, (Cambridge Univ. Press, Cambridge 1985).
 R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982).
 For a recent review see: T. Sch¨afer and E. Shuryak, “Instantons in QCD”, Rev. Mod. Phys. 70, 323 (1998).
 Y. Alhassid, F. Gu¨rsey and F. Iachello, “Potential Scattering, Transfer Matrix, and Group Theory”, Phys. Rev. Lett. 50, 873 (1983).
 H. Li and D. Kusnezov, “Group Theory Approach to Periodic Potentials and Transfer Matrices”, Yale preprint Nov. 1998.
 E. Whittaker and G. Watson, A Course of Modern Analysis, (Cambridge, 1927); M. Abramowitz and I. Stegun (Eds.), Handbook of Mathematical Functions, (Dover, 1990).
 R. S. Ward, “The Nahm equations, finite-gap potentials and Lam´e functions”, J. Phys. A 20, 2679 (1987).
 R. Peierls, Quantum Theory of Solids, (Oxford, 1955).
 Here K′(ν) = K(1 − ν), E′(ν) = E(1 − ν), and E(ν) is the complete elliptic integral .