| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
Symmetry and its spontaneous breaking is one of the important concepts in modern physics. In general, it is known that when a continuous symmetry is spontaneously broken, there appears the gapless excitation modes called the Nambu-Goldstone mode (Nambu-Goldstone of the theorem). The pions and spin waves in the ferromagnets are examples of NG modes. The original theorem was formulated in the relativistic systems. We generalize the Nambu-Goldstone theorem in the Lorentz invariant systems to that in the nonrelativistic systems, and we clarify the relationship of spontaneous symmetry breaking and Nambu-Goldstone mode that was not well understood for a long time.
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