Unparticle PhysicsMike Berger
September 6, 2007
3-loop beta function for SU(3)
b0=0 b1=0
2-loop beta function has a zero (fixed point) if
Results can be generalized to group G with rep R
QEDBeta function
= 1/2= 11 – (2/3)NF
= 102 – (38/3)NF
= 33/2 =16.5 = 153/19 = 8.05
fundamental representation
IR UV
Dimensional transmutation
QCD (without quark masses) is a classically scale invariant theory
= 11 – (2/3)NF
LQCD
Banks-Zaks fields with infrared fixed point interact with SM fields
Dimensional transmutation of BZ fields
The operator dimension dU can be non-integral
Explicit example in SQCD with strongly coupled fixed point:
3/2 NC < NF < 3 NC for SU(NC) gauge group
Feynman rules (scalar)