ویراساینس.
سند علمی

Supersymmetric Yang-Mills quantum mechanics in various dimensions

Jacek Wosiek, Massimo Campostrini

چکیده

Supersymmetric Yang-Mills quantum mechanics (SYMQM) results from the dimensional reduction of the Yang-Mills field theory in D space-time dimensions to a single point in the D− 1 dimensional space. It can be also viewed as the effective quantum mechanics of zero momentum modes of the original theory [1]. These systems were first considered in 80’s [2] as simple models with supersymmetry [3]. Independently, zero-volume field theories (especially pure Yang-Mills) were employed as the starting point of the small volume expansion, which is an important theoretical tool complementary to early lattice calculations [4, 5, 6]. Later the models attracted a new wave of interest after the hypothesis of the equivalence, between the D = 10,SU(∞) SYMQM and a M-theory of D0 branes [7, 8, 9, 10]. In this talk some new results obtained for the D = 4 system with SU(2) gauge symmetry will be presented.

اسناد مشابه

  • Vacua of Supersymmetric Yang-mills Quantum Mechanics

    سند علمی۲۰۰۵J. WOSIEK

    Reducing Supersymmetric Yang-Mills Field Theory to a single point in the three dimensional space results in the Supersymmetric Yang-Mills Quantum Mechanics (SYMQM) which basically is the effective quantum mechanics of zero momentum modes of the original theory. Such a system is s

  • High precision study of the structure of D = 4 supersymmetric Yang-Mills quantum mechanics

    سند علمی۲۰۰۴M. Campostrini, J. Wosiek

    The spectrum of D = 4 supersymmetric Yang-Mills quantum mechanics is computed with high accuracy in all channels of angular momentum and fermion number. Localized and non-localized states coexists in certain channels as a consequence of the supersymmetric interactions with flat v

  • Exact Witten Index in D=2 supersymmetric Yang-Mills quantum mechanics

    سند علمی۲۰۰۲M. Campostrini, J. Wosiek

    A new, recursive method of calculating matrix elements of polynomial hamiltonians is proposed. It is particularly suitable for the recent algebraic studies of the supersymmetric Yang-Mills quantum mechanics in any dimensions. For the D = 2 system with the SU(2) gauge group, consi

  • Supersymmetric Yang-mills Quantum Mechanics

    سند علمی۲۰۰۲JACEK WOSIEK

    The new approach to quantum mechanical problems is proposed. Quantum states are represented in an algebraic program, by lists of variable length, while operators are well defined functions on these lists. Complete numerical solution of a given system can then be automatically obt

  • Spectra of supersymmetric Yang-Mills quantum mechanics

    سند علمی۲۰۰۵J. Wosiek

    The new method of solving quantum mechanical problems is proposed. The finite, i.e. cut off, Hilbert space is algebraically implemented in the computer code with states represented by lists of variable length. Complete numerical solution of a given system is then automatically ob

  • Loop formulation of supersymmetric Yang-Mills quantum mechanics

    سند علمی۲۰۱۴Kyle Steinhauer

    We derive the fermion loop formulation of N = 4 supersymmetric SU(N) Yang-Mills quantum mechanics on the lattice. The loop formulation naturally separates the contributions to the partition function into its bosonic and fermionic parts with fixed fermion number and provides a way