|
[1] Freeman J Dyson. Divergence of perturbation theory in quantum electrodynamics.Physical Review, 85(4):631, 1952. [2] LN Lipatov. Divergence of perturbation theory series and the quasiclassical theory. Zhurnal Ehksperimental''noji Teoreticheskoj Fiziki, 72(2):411{427, 1977. [3] Jean Zinn-Justin. Quantum eld theory and critical phenomena. 2002. [4] E Brezin, JC Le Guillou, and Jean Zinn-Justin. Perturbation theory at large order. i. the '' 2 n interaction. Physical Review D, 15(6):1544, 1977. [5] Jean-Claude Le Guillou and Jean Zinn-Justin. Large-order behaviour of perturbation theory, volume 7. Elsevier, 2012. [6] E.B. Bogomolny. Calculation of instanton-anti-instanton contributions in quantum mechanics. Physics Letters B, 91(3):431 { 435, 1980. [7] J. Zinn-Justin. Multi-instanton contributions in quantum mechanics. Nuclear Physics B, 192(1):125 { 140, 1981. [8] J Zinn-Justin. Perturbation series at large orders in quantum mechanics and field theories: Application to the problem of resummation. Physics Reports, 70(2):109 - 167, 1981. [9] Gerald V. Dunne and Mithat Unsal. Generating nonperturbative physics from perturbation theory. Phys. Rev. D, 89:041701, Feb 2014. [10] Gokce Basar, Gerald V. Dunne, and Mithat Unsal. Resurgence theory, ghostinstantons, and analytic continuation of path integrals. JHEP, 10:041, 2013. [11] Gerald V. Dunne and Mithat Unsal. Deconstructing zero: resurgence, supersymmetry and complex saddles. JHEP, 12:002, 2016. [12] Gerald V. Dunne and Mithat Unsal. Uniform WKB, Multi-instantons, and Resurgent Trans-Series. Phys. Rev., D89(10):105009, 2014. [13] Gerald V. Dunne and Mithat Unsal. Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model. JHEP, 11:170, 2012. [14] Philip C. Argyres and Mithat Unsal. The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects. JHEP, 08:063, 2012. [15] M. Shifman. New and Old about Renormalons: in Memoriam Kolya Uraltsev. Int. J. Mod. Phys., A30(10):1543001, 2015. [16] E.B. Bogomolny. Calculation of instanton-anti-instanton contributions in quantum mechanics. Physics Letters B, 91(34):431 { 435, 1980. [17] J. Koplik, A. Neveu, and S. Nussinov. Some aspects of the planar perturbation series. Nuclear Physics B, 123:109{131, May 1977. [18] M. Beneke. Renormalons. Phys. Rept., 317:1{142, 1999. [19] V. I. Zakharov. Qcd perturbative expansions in large orders. Nuclear Physics B, 385(3):452{480, 10 1992. [20] Matthias Neubert. Scale setting in QCD and the momentum flow in Feynman diagrams. Phys. Rev., D51:5924{5941, 1995. [21] Marcos Marino. Instantons and Large N: An Introduction to Non-Perturbative Methods in Quantum Field Theory. Cambridge University Press, 2015. [22] Gerald V. Dunne. Functional determinants in quantum field theory. J. Phys., A41:304006, 2008. [23] Klaus Kirsten and Alan J. McKane. Functional determinants for general Sturm-Liouville problems. J. Phys., A37:4649{4670, 2004. [24] Gerald V. Dunne and Mithat Unsal. Deconstructing zero: resurgence, supersymmetry and complex saddles. JHEP, 12:002, 2016. [25] Toshiaki Fujimori, Syo Kamata, Tatsuhiro Misumi, Muneto Nitta, and Norisuke Sakai. Exact Resurgent Trans-series and Multi-Bion Contributions to All Orders. 2017. [26] I. M. Suslov. Divergent perturbation series. Zh. Eksp. Teor. Fiz., 127:1350, 2005. [J. Exp. Theor. Phys.100,1188(2005)]. [27] I. M. Suslov. Renormalization Group Functions of the 4 Theory in the Strong Coupling Limit: Analytical Results. J. Exp. Theor. Phys., 107:413{429, 2008. [Zh. Eksp. Teor. Fiz.134,490(2008)]. [28] I. M. Suslov. Exact asymptotics for beta-function in QED. J. Exp. Theor. Phys., 108:980{984, 2009. [29] Philip Argyres and Mithat Unsal. A semiclassical realization of infrared renormalons. Phys. Rev. Lett., 109:121601, 2012. [30] Pavel Kovtun, Mithat Unsal, and Laurence G. Ya e. Volume independence in large N(c) QCD-like gauge theories. JHEP, 06:019, 2007. [31] Alexander M. Polyakov. Quark Con nement and Topology of Gauge Groups. Nucl. Phys., B120:429{458, 1977. [32] Ian A eck, Je rey A. Harvey, and Edward Witten. Instantons and (Super)Symmetry Breaking in (2+1)-Dimensions. Nucl. Phys., B206:413{439, 1982. [33] David J. Gross, Robert D. Pisarski, and Laurence G. Ya e. Qcd and instantons at nite temperature. Rev. Mod. Phys., 53:43{80, Jan 1981. [34] Tom M. W. Nye and Michael A. Singer. An L**2 index theorem for Dirac operators on S**1 x R**3. Submitted to: J. Funct. Anal., 2000. [35] Erich Poppitz and Mithat Unsal. Index theorem for topological excitations on R**3 x S**1 and Chern-Simons theory. JHEP, 03:027, 2009. [36] F. David. CANCELLATIONS OF INFRARED DIVERGENCES IN TWODIMENSIONAL CHIRAL MODELS. Phys. Lett., B96:371{374, 1980. [37] Francois David. Instantons and condensates in two-dimensional cpn-1 models. Physics Letters B, 138(1):139 { 144, 1984. [38] Michael Stone and Je rey Reeve. Late terms in the asymptotic expansion for the energy levels of a periodic potential. Phys. Rev. D, 18:4746{4751, Dec 1978. [39] Toshiaki Fujimori, Syo Kamata, Tatsuhiro Misumi, Muneto Nitta, and Norisuke Sakai. Nonperturbative contributions from complexi ed solutions in CPN-1models. Phys. Rev., D94(10):105002, 2016. [40] I. M. Gelfand and A. M. Yaglom. Integration in functional spaces and it applications in quantum physics. J. Math. Phys., 1:48, 1960.
|