2020
DOI: 10.1007/jhep10(2020)027
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Secularly growing loop corrections in scalar wave background

Abstract: We consider two-dimensional Yukawa theory in the scalar wave background ϕ(t − x). If one takes as initial state in such a background the scalar vacuum corresponding to ϕ = 0, then loop corrections to a certain part of the Keldysh propagator, corresponding to the anomalous expectation value, grow with time. That is a signal to the fact that under the kick of the ϕ(t − x) wave the scalar field rolls down the effective potential from the ϕ = 0 position to the proper ground state. We show the evidence supporting t… Show more

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Cited by 15 publications
(12 citation statements)
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“…We show that for all generalized alpha-states, except the Out-state, loop corrections grow with time signaling the instability of these states. Similar growth was observed in other backgrounds [24], [12], [25], [26] [27], [21], [28], [29], [23].…”
Section: Discussionsupporting
confidence: 84%
“…We show that for all generalized alpha-states, except the Out-state, loop corrections grow with time signaling the instability of these states. Similar growth was observed in other backgrounds [24], [12], [25], [26] [27], [21], [28], [29], [23].…”
Section: Discussionsupporting
confidence: 84%
“…6. Consider now loop corrections for a generic choice of modes f p (t) in ( 12) and for the initial values n 0 p = 0 and κ 0 p = 0 in (16). As in the situation described in the section 4, the secular memory contribution may come from the sunset two-loop diagram correction to the Keldysh propagator.…”
mentioning
confidence: 98%
“…Then modes f p (t) in ( 12) contain the volume factor, [a(t)] (D−1)/2 . This means that such components of the two-point function (16) as n p and κ p are attributed to the comoving volume, i.e. are always accompanied by the factors of the form [a(t)] D−1 in CF.…”
mentioning
confidence: 99%
“…Other works on backreaction effects in non-oscillating scalar backgrounds in the Yukawa theory are Refs. [28][29][30]. 4 For an excellent complementary understanding to Ref.…”
Section: Introductionmentioning
confidence: 99%