The simplest model that can produce inflation is a massive noninteracting scalar particle with potential V = m 2 ? 2 / 2 . However, ? 2 chaotic inflation is inconsistent with the observed upper bound on the tensor-to-scalar ratio, r . Recently it has been shown that, in the context of the Palatini formalism of gravity with an R 2 term, the ? 2 potential can be consistent with the observed bound on r while retaining the successful prediction for the scalar spectral index, n s . Here we show that the Palatini ? 2 R 2 inflation model can also solve the super-Planckian inflaton problem of ? 2 chaotic inflation, and that the model can be consistent with Planck scale-suppressed potential corrections, as may arise from a complete quantum gravity theory. If α ? 10 12 , where α is the coefficient of the R 2 term, the inflaton in the Einstein frame, σ , remains sub-Planckian throughout inflation. In addition, if α ? 10 20 , then the predictions of the model are unaffected by Planck-suppressed potential corrections in the case where there is a broken shift symmetry, and if α ? 10 32 , then the predictions are unaffected by Planck-suppressed potential corrections in general. The value of r is generally small, with r ? 10 ? 5 for α ? 10 12 . We calculate the maximum possible reheating temperature, T R max , corresponding to instantaneous reheating, for the different regimes of α . We find that for α ≈ 10 32 , T R max is approximately 10 10 ? ? GeV , with larger values of T R max for smaller α . For the case of instantaneous reheating, we show that n s is in agreement with the 2018 Planck results to within 1 ? σ , with the exception of the α ≈ 10 32 case, which is close to the 2 ? σ lower bound. Following inflation, the inflaton condensate is likely to rapidly fragment, which makes it possible for reheating to occur via the Higgs portal due to inflaton annihilations within oscillons. This typically results in delayed reheating, which is disfavored by the observed value of n s . In contrast, reheating via inflaton decays to right-handed neutrinos can easily result in instantaneous reheating. We determine the scale of unitarity violation and show that, in general, unitarity is conserved during inflation, although the inflaton field is larger than the unitarity-violation scale. We conclude that the Palatini ? 2 R 2 inflation model provides a completely consistent model of inflation which can be sub-Planckian and consistent with Planck scale-suppressed potential corrections, can reheat successfully, and conserves unitarity during inflation.
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机译：可以产生膨胀的最简单模型是具有潜在v = m 2的大规模非交互式标量粒子？ 2/2。然而， ？ 2混沌通胀与张量标量比的观察到的上限不一致。最近，已经表明，在帕拉蒂尼的语境中的重力与R 2术语的形式主义，是什么？ 2电位可以与r的观察到的界限一致，同时保留对标量光谱指数的成功预测，n s。在这里，我们展示了帕拉蒂尼？ 2 R 2通胀模型也可以解决超级普朗克的荧腾问题？ 2混沌通胀，并且该模型可以与普通尺度抑制的电位校正一致，从完全量子重力理论中可能出现。如果α？如图10 12所示，其中α是r 2项的系数，爱因斯坦框架中的发射位，σ在整个膨胀过程中仍然是亚普朗克。另外，如果α？ 10 20，然后在存在破裂对称的情况下，模型的预测不受普通抑制潜在校正的影响，如果α？ 10 32，预测不受普通潜在校正的影响。 r的值一般小，r？ 10？ 5为α？ 10 12。对于不同的α的不同规范，我们计算最大可能再加热温度T r max，对应于瞬时再加热。我们发现在α≈1032，t r max大约10 10？还GEV，对于较小的α，具有较大值的t r max。对于瞬间再加热的情况，我们表明N S与2018年普朗克结果达成一致？ σ，除了α≈1a12的情况，靠近2的情况？ Σ下限。膨胀后，发炎冷凝物可能迅速碎片，这使得可以通过散差内的膨胀湮灭来通过HIGGS门户进行再加热。这通常导致延迟再加热，这是由观察到的N秒的值不受欢迎。相比之下，通过发炎衰减将右手中微芽的再加热可以容易地导致瞬时再加热。我们确定统一违规的规模并表明，通常，在通胀期间统一地保存，尽管涌入场大于统一违规规模。我们得出结论是帕拉蒂尼？ 2 R 2通胀模型提供了一种完全一致的通胀模型，可以是亚普朗克，与普通级别抑制的潜在校正一致，可以成功再加热，并在通胀期间节省统一性。
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