Properties of block renormalization group operators for Euclidean Fermions in an external gauge field

1991 ◽  
Vol 32 (11) ◽  
pp. 3199-3208 ◽  
Author(s):  
Tadeusz Balaban ◽  
Michael O’Carroll ◽  
Ricardo Schor
Keyword(s):  
Renormalization Group ◽  
Gauge Field ◽  
External Gauge ◽  
Block Renormalization Group

scholarly journals The renormalization group and the effective action

2011 ◽  
Vol 89 (3) ◽  
pp. 277-280 ◽  
Author(s):  
D. G.C. McKeon
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Gauge Field ◽  
Effective Potential ◽  
Effective Action ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
The One ◽  
External Gauge

The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function β, the next-to-leading-log (NLL) contributions in terms of the two-loop RG function, etc. The log-independent pieces are not determined by the RG equation, but can be fixed by considering the anomaly in the trace of the energy-momentum tensor. Similar considerations can be applied to the effective potential V for a scalar field [Formula: see text]; here the log-independent pieces are fixed by the condition [Formula: see text].

HOLOGRAPHIC WILSONIAN RENORMALIZATION GROUP

2013 ◽  
Vol 21 ◽  
pp. 149-150
Author(s):  
DANIEL ELANDER ◽  
HIROSHI ISONO ◽  
GAUTAM MANDAL
Keyword(s):  
Renormalization Group ◽  
Gauge Field ◽  
General Class

We report on our recent studies on holographic Wilsonian renormalization group in a general class of asymptotically AdS backgrounds with a Maxwell gauge field.

Multigrid Monte Carlo for a bose field in an external gauge field

1990 ◽  
Vol 331 (2) ◽  
pp. 531-540 ◽  
Author(s):  
Arjan Hulsebos ◽  
Jan Smit ◽  
Jeroen C. Vink
Keyword(s):  
Monte Carlo ◽  
Gauge Field ◽  
External Gauge

scholarly journals THE SU(2) GLOBAL ANOMALY THROUGH LEVEL CIRCLING

1994 ◽  
Vol 09 (06) ◽  
pp. 501-514 ◽  
Author(s):  
MINOS AXENIDES ◽  
HOLGER BECH NIELSEN ◽  
ANDREI JOHANSEN
Keyword(s):  
Gauge Theory ◽  
Dirac Operator ◽  
Gauge Field ◽  
Complex Plane ◽  
Spinor Representation ◽  
Yukawa Couplings ◽  
Zero Modes ◽  
Global Anomaly ◽  
External Gauge

We discuss a novel manifestation of the SU(2) global anomaly in an SU(2) gauge theorywith an odd number of chiral quark doublets and arbitrary Yukawa couplings. We arguethat the massive four-dimensional Euclidean Dirac operator is non-Hermitian with itsspectrum of eigenvalues (λ, −λ) lying in pairs in the complex plane. Consequently theexistence of an odd number of normalizable zero modes of the four-dimensional massiveDirac operator is equivalent to a fermionic level exchange phenomenon, level “circling,”under continuous topologically non-trivial deformations of the external gauge field. Moregenerally global anomalies are a manifestation of fermionic level “circling” in any SP(2n)gauge theory with an odd number of massive fermions in the spinor representation andarbitrary Yukawa couplings.

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