All-order finiteness in N=1 SYM theories: Criteria and applications

被引:45
|
作者
Lucchesi, C
Zoupanos, G
机构
[1] UNIV BERN, INST THEORET PHYS, CH-3012 BERN, SWITZERLAND
[2] MAX PLANCK INST PHYS & ASTROPHYS, WERNER HEISENBERG INST, D-80805 MUNICH, GERMANY
来源
关键词
D O I
10.1002/prop.2190450203
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
As a motivation, we first recall the possible connection of electric-magnetic duality to finiteness in N=1 super-Yang-Mills theories (SYM). Then, we present the criterion for all-order finiteness (i.e., vanishing of the beta-functions at all orders) in N = 1 SYM. Finally, we apply this finiteness criterion to an SU(5) SGUT. The latter turns out to be all-order finite if one imposes additional symmetries.
引用
收藏
页码:129 / 143
页数:15
相关论文
共 46 条
  • [21] Simulating the all-order strong coupling expansion III: O(N) sigma/loop models (vol 824, pg 254, 2010)
    Wolff, Ulli
    NUCLEAR PHYSICS B, 2010, 834 (1-2) : 395 - 397
  • [22] Finiteness of the triple gauge-ghost vertices in N=1 supersymmetric gauge theories: the two-loop verification
    Kuzmichev, Mikhail
    Meshcheriakov, Nikolai
    Novgorodtsev, Sergey
    Shatalova, Victoria
    Shirokov, Ilya
    Stepanyantz, Konstantin
    EUROPEAN PHYSICAL JOURNAL C, 2022, 82 (01):
  • [23] Two-loop renormalization of the matter superfields and finiteness of N=1 supersymmetric gauge theories regularized by higher derivatives
    Kazantsev, A. E.
    Stepanyantz, K., V
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, (06):
  • [24] Leading and subleading UV divergences in scattering amplitudes for D=8 N=1 SYM theory in all loops
    Kazakov, D. I.
    Vlasenko, D. E.
    PHYSICAL REVIEW D, 2017, 95 (04)
  • [25] All-orders finite N=1 Super-Yang-Mills theories
    Lucchesi, C
    SUSY 95 - INTERNATIONAL WORKSHOP ON SUPERSYMMETRY AND UNIFICATION OF FUNDAMENTAL INTERACTIONS, 1996, : 239 - 244
  • [26] CRITERION FOR EXISTENCE OF N=1 SUPERSYMMETRIC YANG-MILLS THEORIES FINITE TO ALL ORDERS
    JIANG, XD
    ZHOU, XJ
    PHYSICAL REVIEW D, 1990, 42 (06): : 2109 - 2114
  • [27] Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in N=1 supersymmetric gauge theories regularized by higher derivatives
    Kuzmichev, M. D.
    Meshcheriakov, N. P.
    Novgorodtsev, S., V
    Shirokov, I. E.
    Stepanyantz, K., V
    PHYSICAL REVIEW D, 2021, 104 (02)
  • [28] A switched server system of order n with all its trajectories converging to (n-1)! limit cycles
    Savkin, AV
    Matveev, AS
    AUTOMATICA, 2001, 37 (02) : 303 - 306
  • [29] FINITENESS OF PARITY-ODD N-POINT FUNCTIONS AT 1-LOOP ORDER IN TYPE-I SUPERSTRING THEORY
    CLAVELLI, L
    COX, PH
    HARMS, B
    NUCLEAR PHYSICS B, 1987, 289 (02) : 445 - 464
  • [30] Applications of the superconformal index for protected operators and q-hypergeometric identities to N=1 dual theories
    Dolan, F. A.
    Osborn, H.
    NUCLEAR PHYSICS B, 2009, 818 (03) : 137 - 178