KEK素粒子原子核研究所理論セミナー(佐藤亮介氏)

分類理論セミナー
開始2017/01/05(木)14:00
終了2017/01/05(木)15:00
会場研究本館1階会議室3
講演タイトルSpherical symmetry of the bounce solution
講演者佐藤亮介氏(Weizmann Inst)
言語英語/English
連絡先yamakei-AT-post.kek.jp
ウェブサイト
食堂・売店利用予定なし/0

概要

In his 1977 paper on vacuum decay in field theory: The Fate of the False Vacuum, Coleman considered the problem of a single scalar field and assumed that the minimum action tunnelling field configuration, the bounce, is invariant under O(4) rotations in Euclidean space. A proof of the O(4) invariance of the bounce was provided later by Coleman, Glaser, and Martin (CGM), who extended the proof to N > 2 Euclidean dimensions but, again, restricted non-trivially to a single scalar field. As far as we know a proof of O(N) invariance of the bounce for the tunnelling problem with multiple scalar fields has not been reported, even though it was assumed in many works since, being of phenomenological interest. We make progress towards closing this gap. Following CGM we define the reduced problem of finding a field configuration minimizing the kinetic energy at fixed potential energy. Given a solution of the reduced problem, the minimum action bounce can always be obtained from it by means of a scale transformation. We show that if a solution of the reduced problem exists, then it and the minimum action bounce derived from it are indeed O(N) symmetric.

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