Perturbative realization of Miransky scaling

被引:24
作者
Antipin, Oleg [1 ]
Di Chiara, Stefano
Mojaza, Matin
Molgaard, Esben
Sannino, Francesco
机构
[1] Univ Southern Denmark, CP3 Origins, Campusvej 55, DK-5230 Odense M, Denmark
关键词
RENORMALIZATION-GROUP EQUATIONS; QUANTUM-FIELD THEORY; CHIRAL HIERARCHIES; SYMMETRY-BREAKING; PHASE-STRUCTURE; GAUGE-THEORIES; DYNAMICS;
D O I
10.1103/PhysRevD.86.085009
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Near conformal dynamics is employed in different extensions of the standard model of particle interactions as well as in cosmology. Many of its interesting properties are either conjectured or determined using model computations. We introduce a relevant four-dimensional gauge theory template allowing us to investigate such dynamics perturbatively. The gauge theory we consider is quantum chromodynamics with the addition of a mesonlike scalar degree of freedom as well as an adjoint Weyl fermion. At the two-loop level, and in the Veneziano limit, we firmly establish the existence of several fixed points of which one is all directions stable in the infrared. An interesting feature of the model is that this fixed point is lost within the perturbative regime by merging with another fixed point when varying the number of quark flavors. We show the emergence of Miransky scaling and determine its properties. The theory exhibits walking behavior in the region close to the lower bound of the conformal window, and by providing a suitable definition we determine the walking region. Finally, we also determine the anomalous dimension of the fermion mass, which is a highly relevant quantity for near conformal dynamics.
引用
收藏
页数:9
相关论文
共 46 条
[1]   Resizing the conformal window: A β-function ansatz [J].
Antipin, O. ;
Tuominen, K. .
PHYSICAL REVIEW D, 2010, 81 (07)
[2]  
ANTIPIN O, ARXIV11051510
[3]   Light dilaton at fixed points and ultra light scale super-Yang-Mills [J].
Antipin, Oleg ;
Mojaza, Matin ;
Sannino, Francesco .
PHYSICS LETTERS B, 2012, 712 (1-2) :119-125
[4]   CHIRAL HIERARCHIES AND FLAVOR-CHANGING NEUTRAL CURRENTS IN HYPERCOLOR [J].
APPELQUIST, T ;
KARABALI, D ;
WIJEWARDHANA, LCR .
PHYSICAL REVIEW LETTERS, 1986, 57 (08) :957-960
[5]   CRITICAL-BEHAVIOR IN (2+1)-DIMENSIONAL QED [J].
APPELQUIST, T ;
NASH, D ;
WIJEWARDHANA, LCR .
PHYSICAL REVIEW LETTERS, 1988, 60 (25) :2575-2578
[6]   ON THE PHASE-STRUCTURE OF VECTOR-LIKE GAUGE-THEORIES WITH MASSLESS FERMIONS [J].
BANKS, T ;
ZAKS, A .
NUCLEAR PHYSICS B, 1982, 196 (02) :189-204
[7]   CHIRAL HIERARCHIES, COMPOSITENESS, AND THE RENORMALIZATION-GROUP [J].
BARDEEN, WA ;
HILL, CT ;
JUNGNICKEL, DU .
PHYSICAL REVIEW D, 1994, 49 (03) :1437-1445
[8]  
Bezrukov F., ARXIV11124054
[9]   Beyond Miransky scaling [J].
Braun, Jens ;
Fischer, Christian S. ;
Gies, Holger .
PHYSICAL REVIEW D, 2011, 84 (03)
[10]   Minimal composite inflation [J].
Channuie, Phongpichit ;
Jorgensen, Jakob J. ;
Sannino, Francesco .
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2011, (05)