scholarly journals A nonperturbative method for the Yang–Mills Lagrangian

2015 ◽  
Vol 30 (13) ◽  
pp. 1550070 ◽  
Author(s):  
Renata Jora
Keyword(s):  
Partition Function ◽  
Gauge Field ◽  
Beta Function ◽  
Gauge Coupling ◽  
Field Method ◽  
Coupling Constant ◽  
Yang Mills ◽  
Nonperturbative Method ◽  
Renormalization Constants ◽  
Gauge Coupling Constant

Using the properties of the partition function for a Yang–Mills theory we compute simple relations among the renormalization constants. In the particular case of the background gauge field method we obtain that the all orders beta function for the gauge coupling constant contains only the first two orders coefficients different than zero and thus corresponds to the 't Hooft scheme.

GEOMETRIC ENGINEERING LIMIT AND WEAK GRAVITY CONJECTURE

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2067-2073
Author(s):  
TOHRU EGUCHI ◽  
YUJI TACHIKAWA
Keyword(s):  
Planck Scale ◽  
Gauge Coupling ◽  
Mass Scale ◽  
Coupling Constant ◽  
Yang Mills ◽  
Weak Gravity ◽  
Gauge Coupling Constant

We analyze the coupled [Formula: see text] supergravity and Yang-Mills system using holomorphy, near the rigid limit where the former decouples from the latter. We find that there appears generically a new mass scale around gMpl where g is the gauge coupling constant and Mpl is the Planck scale. This is in accord with the weak-gravity conjecture proposed recently.

scholarly journals BOSE–FERMI EQUIVALENCE IN THREE-DIMENSIONAL NONCOMMUTATIVE SPACETIME

2008 ◽  
Vol 23 (35) ◽  
pp. 3015-3022
Author(s):  
K. M. AJITH ◽  
E. HARIKUMAR ◽  
M. SIVAKUMAR
Keyword(s):  
Partition Function ◽  
Gauge Field ◽  
Three Dimensional ◽  
Coupling Constant ◽  
Spin Factor ◽  
Noncommutative Spacetime ◽  
Chern Simons

We study the fermionisation of Seiberg–Witten mapped action (to order θ) of the λϕ4 theory coupled minimally with U(1) gauge field governed by Chern–Simons action. Starting from the corresponding partition function we derive nonperturbatively (in coupling constant) the partition function of the spin-1/2 theory following Polyakov spin factor formalism. We find that the dual interacting fermionic theory is nonlocal. This feature also persists in the limit of vanishing self-coupling. In θ → 0 limit, the commutative result is obtained.

scholarly journals Gauge coupling constant unification with Planck scale values of moduli

1996 ◽  
Vol 378 (1-4) ◽  
pp. 113-119 ◽  
Author(s):  
D. Bailin ◽  
A. Love ◽  
W.A. Sabra ◽  
S. Thomas
Keyword(s):  
Planck Scale ◽  
Gauge Coupling ◽  
Coupling Constant ◽  
Gauge Coupling Constant

scholarly journals COMPLETE CLASSES OF GUTS WITH VANISHING ONE-LOOP BETA FUNCTIONS

1994 ◽  
Vol 09 (29) ◽  
pp. 5053-5075
Author(s):  
WOLFGANG LUCHA ◽  
FRANZ F. SCHÖBERL
Keyword(s):  
Gauge Coupling ◽  
Coupling Constants ◽  
Coupling Constant ◽  
Finiteness Conditions ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
Dimensionless Coupling ◽  
The One ◽  
The Masses ◽  
Gauge Coupling Constant

By explicit solution of the one-loop finiteness conditions for all dimensionless coupling constants (i.e. the gauge coupling constant as well as Yukawa and quartic scalar-boson self-interaction coupling constants), two classes of grand unified theories characterized by renormalization-group beta functions which all vanish at least at the one-loop level are constructed and analyzed with respect to the (suspected) appearance of quadratic divergences, with the result that without exception in all of these models the masses of both vector and scalar bosons receive quadratically divergent one-loop contributions.

scholarly journals Universality of gauge coupling constant in the Einstein-QED system

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
L. Ibiapina Bevilaqua ◽  
A. C. Lehum ◽  
Huan Souza
Keyword(s):  
Gauge Coupling ◽  
Coupling Constant ◽  
Gauge Coupling Constant
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