Tópicos Non-perturbative effects in QFT
Código: PFIS2074
Curso: Mestrado em Física
Créditos: 4
Carga horária: 60
Ementa:
1. Asymptotic series and exponentially small corrections. Formal power series and trans-series in ODEs. Classical asymptotics and Stokes phenomenon. Beyond classical asymptotics: Borel transform. Borel transform and Borel resummation. 2. Trans series and resurgence in Quantum Mechanics. Double well potential: WKB method and quantization conditions.
3. Non-perturbative effects in Quantum Field Theory. Renormalons in integrable field theories. Chern-Simons theory. 1/N expansion: large-N instants in Matrix Quantum Mechanics. 4. Non-perturbative effects in large N matrix models: Large N instantons, large-order behaviour and spectral curve. One-cut and multi-cut solutions. Classical asymptotics and Stokes phenomena.
Bibliografia:
[1] Marcos Mariño, Lectures on non-perturbative effects in large N gauge theories, matrix models and strings https://arxiv.org/pdf/1206.6272.pdf
[2] A. Voros, “The return of the quartic oscillator. The complex WKB method,” Ann. Inst. H. Poincar ́e A 39, 211 (1983). [3] E. Witten, “Instantons, The Quark Model, And The 1/N Expansion,” Nucl. Phys. B 149, 285 (1979). [4] J. Zinn–Justin, Quantum field theory and critical phenomena, Oxford University Press, Oxford, 2002. [5] [1] S. Coleman. The uses of instantons. volume the whys of subnuclear physics, Editor A. Zichichi, 1979.
