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Exact TT[over ¯] Deformation of Two-Dimensional Maxwell Theory
Luca Griguolo1, Rodolfo Panerai2, Jacopo Papalini1
1Dipartimento SMFI, Università di Parma and INFN Gruppo Collegato di Parma, Viale G.P. Usberti 7/A, 43100 Parma, Italy.
Abstract:
We study the partition function of TT[over ¯]-deformed two-dimensional Maxwell theory by solving the relevant flow equation at the level of individual flux sectors. Summing exactly the "instanton" series, we obtain a well-defined expression for the partition function at arbitrary μ. For μ>0, the spectrum of the theory experiences a truncation and the theory undergoes infinite-order quantum phase transitions associated with the vanishing of Polyakov-loop correlators. For μ<0, the appearance of nonperturbative contributions in μ drastically modifies the structure of the partition function.
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