Quantum Matter Coupled to Classical Gravity A problem of interest in theoretical physics is the issue of the evaporation of black holes via Hawking radiation subject to a fixed background. We approach this problem by considering an electromagnetic analogue, where we have substituted Hawking radiation with the Schwinger effect. We treat the case of massless QED in 1+1 dimensions with the path integral approach to quantum field theory, and discuss the resulting Feynman diagrams from our analysis. The results from this thesis may be useful to find a version of the Schwinger effect that can be solved exactly and perturbatively, as this version may provide insights to the gravitational problem of Hawking radiation.autDhumuntarao, AdityathsParikh, MaulikdgcDavies, Paul C. W.ctbDepartment of PhysicsctbSchool of Mathematical and Statistical SciencesctbBarrett, The Honors Collegeenghttps://hdl.handle.net/2286/R.I.3776220 pages115093930581628716197135378adhumuntIn Copyright2016-05TextBackreactionsTheoretical PhysicsQuantum Field TheoryBlack HolesGravity