양자 양-밀스 이론의 존재성과 질량 간극

질량 간극

• the existecne of a mass gap is an experimental fact about 4d YM theory, and is strongly indicated by computer simulations in both 4d and 3d.
• In 4d, this is one of the most important facts about strong interactions.
• mathematically, mass gap can be an aid in proving infinite volume limit
• mass gap => hide quantum phenomena at long distances

조용민 교수 관련

해당논문

• Dimensional transmutation by monopole condensation in QCD, Phys. Rev. D 87, 085025 (2013) http://dx.doi.org/10.1103/PhysRevD.87.085025
  • stable monopole condensation in SU(2) QCD
  • dimensional transmutation
  • gauge-invariant integral expression of the one-loop QCD effective action with no infrared divergence

뉴스

• 조용민 교수의 7대 수학 난제 해결 논란, 어떻게 볼 것인가, 슬로우뉴스 2013-5-6
• 세계 7대 수학 난제 풀었다는 조용민 교수 논문 2년 뒤 검토 한국일보

2013-4-28

• 밀레니엄 난제 푼 조용민 교수 "틀렸다면 논문으로 반박하라" 이데일리 2013-4-26
• 수학계 “조용민 ‘밀레니엄 난제’ 못 풀었다” 서울신문 2013-4-22
• 서화숙의 만남 현상금 100만불 수학 난제 해답 제시한 조용민 건국대학교 석학교수 한국일보 2013-4-21
• 건국대 조용민 석학, 우주질량생성 비밀 밝혀…7대 난제 중 물리문제 해법 제시 건국대 보도자료 2013-04-17

관련토론

• http://physics.stackexchange.com/questions/61397/some-korean-researchers-saying-that-they-solved-yang-mill-existence-and-mass-gap
• http://www.reddit.com/r/math/comments/1cixsk/there_are_reports_that_another_millennium_problem/

메모

• http://mathoverflow.net/questions/103132/what-does-yang-mills-and-mass-gap-problem-has-to-do-with-mathematics

비디오

• 21. 입자물리2: 양자색역학과 쿽의 속박
• Lorenzo Sadun on the "Yang-Mills and Mass Gap" Millenium problem
• Answer: Why do some particles like gluons not have mass? Have they been observed experimentally? David Gross
• Witten talk on the mass gap problem in 3D quantum Yang-Mills theory
  • 12분 20초 근처

리뷰, 에세이, 강의노트

• Constructive Quantum Field Theory, Arthur Jaffe, Mathematical Physics 2000, pages 111-127, edited by A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski, Imperial College Press, London 2000
• The Problem Of Gauge Theory, Edward Witten, arXiv:0812.4512v3 [math.DG]
• Mass in Quantum Yang-Mills Theory, L. D. Faddeev arXiv:0911.1013 [math-ph]

관련논문

• Report on the Status of the Yang-Mills Millenium Prize Problem
• Official Problem Description — Arthur Jaffe and Edward Witten

사전 형태의 자료

• http://en.wikipedia.org/wiki/Mass_gap
• http://en.wikipedia.org/wiki/Yang-Mills_theory