Nikolay Gromov

Publications (5)0 Total impact

• Source

  Available from: arxiv.org

  Article: Fermionic determinant for SU(N) caloron with nontrivial holonomy

  Nikolay Gromov, Sergey Slizovskiy
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  ABSTRACT: In the finite-temperature Yang-Mills theory we calculate the functional determinant for fermions in the fundamental representation of the SU(N) in the background of an instanton with non-trivial values of the Polyakov line at spatial infinity. This object, called the Kraan--van Baal -- Lee--Lu caloron, can be viewed as composed of N Bogomolny--Prasad--Sommerfeld monopoles (or dyons). We compute analytically two leading terms of the fermionic determinant at large separations between dyons. Comment: 17 pages, 2 figures, grammar corrections, introduction revised
  07/2005;
• Source

  Available from: arxiv.org

  Article: Fermionic determinant for dyons and instantons with nontrivial holonomy

  Nikolay Gromov, Sergey Slizovskiy
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  ABSTRACT: We calculate exactly the functional determinant for fermions in fundamental representation of SU(2) in the background of periodic instanton with non-trivial value of the Polyakov line at spatial infinity. The determinant depends on the value of the holonomy v, the temperature, and the parameter r_12, which at large values can be treated as separation between the Bogomolny--Prasad--Sommerfeld monopoles (or dyons) which constitute the periodic instanton. We find a compact expression for small and large r_12 and compute the determinant numerically for arbitrary r_12 and v. Comment: 17 pages, published version, references added
  04/2005;
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  Available from: arxiv.org

  Article: SU(N) caloron measure and its relation to instantons

  Dmitri Diakonov, Nikolay Gromov
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  ABSTRACT: Calorons of the SU(N) gauge group with non-trivial holonomy, i.e. periodic instantons with arbitrary eigenvalues of the Polyakov line at spatial infinity, can be viewed as composed of N Bogomolnyi--Prasad--Sommerfeld (BPS) monopoles or dyons. Using the metric of the caloron moduli space found previously we compute the integration measure over caloron collective coordinates in terms of the constituent monopole positions and their U(1) phases. In the limit of small separations between dyons and/or trivial holonomy, calorons reduce locally to the standard instantons whose traditional collective coordinates are the instanton center, size and orientation in the color space. We show that in this limit the instanton collective coordinates can be explicitly written through dyons positions and phases, and that the N-dyon measure coincides exactly with the standard instanton one. Comment: 15 p
  02/2005;
• Article: Quantum weights of dyons and of instantons with nontrivial holonomy

  Dmitri Diakonov, Nikolay Gromov, Victor Petrov, Sergey Slizovskiy
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  ABSTRACT: We calculate exactly functional determinants for quantum oscillations about periodic instantons with a nontrivial value of the Polyakov line at spatial infinity. Hence, we find the weight or the probability with which calorons with nontrivial holonomy occur in the Yang-Mills partition function. The weight depends on the value of the holonomy, the temperature, ΛQCD, and the separation between the BPS monopoles (or dyons) that constitute the periodic instanton. At large separation between constituent dyons, the quantum measure factorizes into a product of individual dyon measures, times a definite interaction energy. We present an argument that at temperatures below a critical one related to ΛQCD, trivial holonomy is unstable, and that calorons “ionize” into separate dyons.
  Phys. Rev. D. 08/2004; 70(3).
• Source

  Available from: arxiv.org

  Article: Quantum weights of dyons and of instantons with non-trivial holonomy

  Dmitri Diakonov, Nikolay Gromov, Victor Petrov, Sergey Slizovskiy
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  ABSTRACT: We calculate exactly functional determinants for quantum oscillations about periodic instantons with non-trivial value of the Polyakov line at spatial infinity. Hence, we find the weight or the probability with which calorons with non-trivial holonomy occur in the Yang--Mills partition function. The weight depends on the value of the holonomy, the temperature, Lambda_QCD, and the separation between the BPS monopoles (or dyons) which constitute the periodic instanton. At large separation between constituent dyons, the quantum measure factorizes into a product of individual dyon measures, times a definite interaction energy. We present an argument that at temperatures below a critical one related to Lambda_QCD, trivial holonomy is unstable, and that calorons ``ionize'' into separate dyons. Comment: 35 pages, 5 figs, minor corrections
  04/2004;