Gradient flows in three dimensions

被引：23

作者：

Jack, I. ^{[1
]}

Jones, D. R. T. ^{[1
]}

Poole, C. ^{[1
]}

机构：

[1] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 09期

基金：

美国国家科学基金会;

关键词：

Field Theories in Lower Dimensions; Renormalization Group; RENORMALIZABLE FIELD-THEORIES; C-THEOREM; MATTER; REGULARIZATION; CONSISTENCY; REDUCTION;

D O I：

10.1007/JHEP09(2015)061

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the beta-functions via a gradient flow equation involving a positive definite metric. We demonstrate the existence of a candidate a-function for renormalisable Chern-Simons theories in three dimensions, involving scalar and fermion fields, in both non-supersymmetric and super-symmetric cases.

引用

页数：17

共 32 条

[1] Standard model vacuum stability and Weyl consistency conditions [J].

Antipin, Oleg ;

Gillioz, Marc ;

Krog, Jens ;

Molgaard, Esben ;

Sannino, Francesco .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (08)

[2] The a theorem for gauge-Yukawa theories beyond Banks-Zaks fixed point [J].

Antipin, Oleg ;

Gillioz, Marc ;

Molgaard, Esben ;

Sannino, Francesco .

PHYSICAL REVIEW D, 2013, 87 (12)

[3] RENORMALIZATIONS IN SUPERSYMMETRIC AND NONSUPERSYMMETRIC NON-ABELIAN CHERN-SIMONS FIELD-THEORIES WITH MATTER [J].

AVDEEV, LV ;

KAZAKOV, DI ;

KONDRASHUK, IN .

NUCLEAR PHYSICS B, 1993, 391 (1-2) :333-357

[4] RENORMALIZATIONS IN ABELIAN CHERN-SIMONS FIELD-THEORIES WITH MATTER [J].

AVDEEV, LV ;

GRIGORYEV, GV ;

KAZAKOV, DI .

NUCLEAR PHYSICS B, 1992, 382 (03) :561-580

[5] REGULARIZATION BY DIMENSIONAL REDUCTION OF SUPERSYMMETRIC AND NON-SUPERSYMMETRIC GAUGE-THEORIES [J].

CAPPER, DM ;

JONES, DRT ;

VANNIEUWENHUIZEN, P .

NUCLEAR PHYSICS B, 1980, 167 (03) :479-499

[6] IS THERE A C-THEOREM IN 4 DIMENSIONS [J].

CARDY, JL .

PHYSICS LETTERS B, 1988, 215 (04) :749-752

[7] RG flows in d dimensions, the dilaton effective action, and the α-theorem [J].

Elvang, Henriette ;

Olson, Timothy M. .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (03)

[8] On renormalization group flows and the a-theorem in 6d [J].

Elvang, Henriette ;

Freedman, Daniel Z. ;

Hung, Ling-Yan ;

Kiermaier, Michael ;

Myers, Robert C. ;

Theisen, Stefan .

JOURNAL OF HIGH ENERGY PHYSICS, 2012, (10)

[9] Three loop analysis of the critical O(N) models in 6-ε dimensions [J].

Fei, Lin ;

Giombi, Simone ;

Klebanov, Igor R. ;

Tarnopolsky, Grigory .

PHYSICAL REVIEW D, 2015, 91 (04)

[10] Critical O(N) models in 6-ε dimensions [J].

Fei, Lin ;

Giombi, Simone ;

Klebanov, Igor R. .

PHYSICAL REVIEW D, 2014, 90 (02)

← 1 2 3 4 →