Further Refining Swampland Conjecture on Inflation in General Scalar‐Tensor Theories of Gravity

Abstract

An alternative refined de Sitter conjecture giving rise to a natural combination of the first and second derivatives of the scalar potential was proposed recently by David Andriot and Christoph Roupec (Fortsch. Phys. 67 (2019) no.1‐2, 1800105). In this work, we study the inflation models in a general scalar‐tensor theory with exponential and hyperbolic tangent forms of potential as well as model with quantum corrected potential and examine whether these three models of inflation can satisfy this further refining de Sitter swampland conjecture or not. Regarding our analysis with proper choices of parameters a,b=1−a$a, b=1- a$ and q, we find that these three inflationary models can always satisfy this new refined swampland conjecture. Therefore, all three inflationary models might all be in “landscape” since the “further refining de Sitter swampland conjecture” is satisfied.

Scalar Weak Gravity Conjecture and Inflationary Models

“…In this section, according to [1], we briefly introduce four inflation models Composite NJL Inflation(NJLI), Glueball Inflation(GI), super Yang-Mills Inflation (SYMI), and Orientifold Inflation (OI). We review the results of each model's compatibility with the two swampland conjectures described in [1].…”

“…In this section, according to [1], we briefly introduce four inflation models Composite NJL Inflation(NJLI), Glueball Inflation(GI), super Yang-Mills Inflation (SYMI), and Orientifold Inflation (OI). We review the results of each model's compatibility with the two swampland conjectures described in [1]. Then, in the next section, using the potential of each model, we will check other important conjectures of the swampland program, namely (SWG) and (SSWG).…”

“…The authors in [1] challenged this inflationary model according to one of the conjectures of the swampland program. It was found that the model is in strong tension with dS swampland conjectures because [1]. Therefore, they checked the model with another conjecture: further refining dS swampland.…”

“…We provide a brief description Of this model. According to [1], the action of the corresponding model is expressed in the following form, where the model has a general non-minimal coupling to gravity…”

“…Therefore, the swampland program was introduced. This program includes many conjectures, including weak gravity conjecture (WGC), dS and AdS conjectures, SWGC, SSWGC, TCC, etc [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. The collection of effective low-energy theories compatible with quantum gravity lives in the landscape.…”