Zap. Nauchn. Sem. POMI, 2021, Volume 509

RUS ENG

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2021, Volume 509

|

General information

|

Contents

|

Questions of quantum field theory and statistical physics. Part 28

	A general vector field coupled to a strongly compressible turbulent flow N. V. Antonov, M. M. Tumakova		5
	Cauchy–Binet determinantal identity and enumeration of plane partitions in a high box N. M. Bogoliubov, C. L. Malyshev		25
	One-point function of the four-vertex model N. M. Bogolyubov, A. G. Pronko		39
	Pauli–Villars regularization for some models with singular perturbations T. A. Bolokhov		54
	Five-vertex model and lozenge tilings of a hexagon with a dent I. N. Burenev		71
	Two relations for the antisymmetrizer in the Hecke algebra A. G. Bytsko		89
	Racah coefficients for the group $\mathrm{SL}(2,\mathbb{R})$ S. E. Derkachev, A. V. Ivanov		99
	On Gustafson integrals for the group $\mathrm{SL}(2,\mathbb{R})$ A. V. Ivanov		113
	Quantum field theory on the example of the simplest cubic model A. V. Ivanov, M. A. Russkikh		123
	Deformation of the Poisson structure of a point particle due to gravitational back reaction D. A. Lyozin, A. N. Starodubtsev		153
	Mellin–Barnes integrals related to the Lie algebra $u(N)$ A. N. Manashov		176
	On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras O. V. Postnova, N. Yu. Reshetikhin		185
	Towards counting paths in lattice path models with filter restrictions and long steps D. P. Solovyev		201
	Zero modes of the Laplace operator in two-loop calculations in the Yang–Mills theory N. V. Kharuk		216

© Steklov Math. Inst. of RAS, 2025