Boris Runov (Australian National University)


Exact vacuum energy of Bukhvostov-Lipatov model from the ODE/IM correspondence


The Bukhvostov-Lipatov model was originally proposed as a way to compute the contribution of instantons to the partition function of the O(3) NLSM. The integrable structure of the Bukhovstov-Lipatov model is discussed. The relation between this integrable structure and the solutions of classical sinh-Gordon equation is explored and used to constuct the vacuum state and to compute exactly the vacuum energy of the model