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Reply to “On the cutoff parameter in the translation-invariant theory of the strong coupling polaron”

“…As pointed out in [3], in the limit of q 0 → ∞ the quantity δE (PR) R → 0. On that ground the authors of [3] decided that their theory is consistent with the results of theory [2].…”

“…The authors of [1] drew this conclusion relying on paper [3] where the results of Tulub theory are just reproduced. In this paper we will demonstrate that actually Porsch and Röseler theory containing a cutoff does not reproduce the results of [2].…”

“…In paper [1] a conclusion was made about "incompleteness" of translation-invariant continuum polaron theory developed by Tulub [2]. The authors of [1] drew this conclusion relying on paper [3] where the results of Tulub theory are just reproduced.…”

“…The value of q 0c has the meaning of a quantity for which the integrand in Tulub's functional has a maximum [2,4]. Notice that expression (8) presented in [1] is derived from (5) only on condition that a << q 0 << q 0c .…”

“…for large q 0 the quantity δE (PR) R ∝ q −2 0 . For this reason the authors of [3] decided that theory [3] transforms to theory [2] with δE (PR) R = 0. However, one can readily see that this is not the case.…”