scholarly journals Nonvanishing finite scalar mass in flux compactification

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Takuya Hirose ◽  
Nobuhito Maru

Abstract We study possibilities to realize a nonvanishing finite Wilson line (WL) scalar mass in flux compactification. Generalizing loop integrals in the quantum correction to WL mass at one-loop, we derive the conditions for the loop integrals and mode sums in one-loop corrections to WL scalar mass to be finite. We further guess and classify the four-point and three-point interaction terms satisfying these conditions. As an illustration, the nonvanishing finite WL scalar mass is explicitly shown in a six dimensional scalar QED by diagrammatic computation and effective potential analysis. This is the first example of finite WL scalar mass in flux compactification.

1999 ◽  
Vol 14 (27) ◽  
pp. 4259-4274 ◽  
Author(s):  
SZE-SHIANG FENG ◽  
GUANG-JIONG NI

Using the new regularization and renormalization scheme recently proposed by Yang and used by Ni et al., we analyze the sine–Gordon and sinh–Gordon models within the framework of Gaussian effective potential in D+1 dimensions. Our analysis suffers no divergence and so does not suffer from the manipulational obscurities in the conventional analysis of divergent integrals. Our main conclusions agree exactly with those of Ingermanson for D=1,2 but disagree for D=3: the D=3 sinh(sine)–Gordon model is nontrivial. Furthermore, our analysis shows that for D=1,2, the running coupling constant (RCC) has poles for sine–Gordon model (γ2<0) and the sinh–Gordon model (γ2>0) has a possible critical point [Formula: see text] while for D=3, the RCC has poles for both γ2>0 and γ2<0.


2004 ◽  
Vol 19 (32) ◽  
pp. 5625-5638 ◽  
Author(s):  
S. SARKAR ◽  
B. SATHIAPALAN

We analyze the condensation of closed string tachyons on the C/ZN orbifold. We construct the potential for the tachyons up to the quartic interaction term in the large N limit. In this limit there are near marginal tachyons. The quartic coupling for these tachyons is calculated by subtracting from the string theory amplitude for the tachyons, the contributions from the massless exchanges, computed from the effective field theory. We argue that higher point interaction terms are also of the same order in 1/N as the quartic term and are necessary for existence of the minimum of the tachyon potential that is consistent with earlier analysis.


2007 ◽  
Vol 43 (1) ◽  
pp. 350-364 ◽  
Author(s):  
María F. González ◽  
Xavier Giménez ◽  
Javier González ◽  
Josep Maria Bofill

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