Arnold Sommerfeld Center, Ludwig-Maximilians-University, Muenchen, Germany.
Phys Rev Lett. 2011 Apr 22;106(16):161302. doi: 10.1103/PhysRevLett.106.161302. Epub 2011 Apr 20.
In natural inflation, the inflaton is a pseudo-Nambu-Goldstone boson which acquires a mass by explicit breaking of a global shift symmetry at scale f. In this case, for small field values, the potential is flat and stable under radiative corrections. Nevertheless, slow roll conditions enforce f ≫ M(p), making the validity of the whole scenario questionable. In this Letter, we show that a coupling of the inflaton kinetic term to the Einstein tensor allows f ≪ M(p) by enhancing the gravitational friction acting on the inflaton during inflation. This new unique interaction (a) keeps the theory perturbative in the whole inflationary trajectory, (b) preserves the tree-level shift invariance of the pseudo-Nambu-Goldstone boson, and (c) avoids the introduction of any new degrees of freedom with respect to standard natural inflation.
在自然通胀中,通胀子是一种赝南姆-戈德斯通玻色子,它通过在标度 f 处显式打破全局平移对称性而获得质量。在这种情况下,对于小的场值,势是平坦的,并且在辐射修正下是稳定的。然而,慢滚条件强制 f ≫ M(p),使得整个情景的有效性值得怀疑。在这封信中,我们表明,通过增强在通胀期间作用在通胀子上的引力摩擦,将通胀子的动能项耦合到爱因斯坦张量可以实现 f ≪ M(p)。这种新的独特相互作用 (a) 使理论在整个通胀轨迹上保持微扰性,(b) 保留赝南姆-戈德斯通玻色子的树级平移不变性,(c) 避免相对于标准自然通胀引入任何新的自由度。