scholarly journals Treating divergent perturbation theory: Lessons from exactly solvable 2D models at large N

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Daniel Schubring ◽  
Chao-Hsiang Sheu ◽  
Mikhail Shifman
1992 ◽  
Vol 07 (29) ◽  
pp. 7305-7338 ◽  
Author(s):  
A.N. IVANOV ◽  
M. NAGY ◽  
N.I. TROITSKAYA

The chiral perturbation theory is developed at the quark level within the extended Nambu-Jona-Lasinio model, which we used for the low-energy approximation of QCD in the leading order of the large N expansion. In terms of constituent-quark loop diagrams we analyze all of the main low-energy effects caused by the first order corrections in the current-quark-mass expansions. For the correct description of the η→3π decays we confirm the important role of the final-state interaction quoted by Gasser and Leutwyler.


2001 ◽  
Vol 16 (27) ◽  
pp. 1761-1773
Author(s):  
OLINDO CORRADINI ◽  
ALBERTO IGLESIAS ◽  
ZURAB KAKUSHADZE ◽  
PETER LANGFELDER

We discuss nonconformal nonsupersymmetric large-N gauge theories with vanishing vacuum energy density to all orders in perturbation theory. These gauge theories can be obtained via a field theory limit of type IIB D3-branes embedded in orbifolded space–times. We also discuss gravity in this setup.


Author(s):  
IAN BALITSKY

The high-energy behavior of the [Formula: see text] SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the high-energy operator expansion in Wilson lines. At large Nc, a typical four-point amplitude is determined by a single BFKL pomeron. The conformal structure of the four-point amplitude is fixed in terms of two functions: pomeron intercept and the coefficient function in front of the pomeron (the product of two residues). The pomeron intercept is universal while the coefficient function depends on the correlator in question. The intercept is known in the first two orders in coupling constant: BFKL intercept and NLO BFKL intercept calculated in Ref. [1]. As an example of using the Wilson-line OPE, we calculate the coefficient function in front of the pomeron for the correlator of four Z2 currents in the first two orders in perturbation theory.


2005 ◽  
Vol 20 (05) ◽  
pp. 355-361 ◽  
Author(s):  
B. GÖNÜL ◽  
M. KOÇAK

Recently developed supersymmetric perturbation theory has been successfully employed to make a complete mathematical analysis of the reason behind exact solvability of some non-central potentials. This investigation clarifies once more the effectiveness of the present formalism.


2010 ◽  
Author(s):  
Rubén Flores-Mendieta ◽  
Juan M. Nieves ◽  
Eulogio Oset ◽  
Manuel J. Vicente-Vacas

Sign in / Sign up

Export Citation Format

Share Document