一维连续对称系统中的无限程关联
Infinite-range correlations in 1D systems with continuous symmetry
摘要：
考虑了O（N）对称格点标量场，耦合到一个化学势和源项。在N=2的例子中，它表明，这样的系统可以甚至在（0+1）维产生无限范围的相关性和非零真空期望值时，化学势假定某些离散值。后者的现象是如何产生的不同机制进行了讨论，这取决于源项是否被设置为零或非零值。在结论中，这些发现的Mermin-Wagner定理的关系。
英文摘要：
O(N)-symmetric lattice scalar fields are considered, coupled to a chemical potential and source terms. At the example of N=2, it is shown that such systems can even in (0+1) dimensions produce infinite-range correlations and a non-zero vacuum expectation value whenever the chemical potential assumes certain discrete values. Different mechanisms for how the latter phenomena are produced are discussed, depending on whether source terms are set to zero or non-zero values. In the conclusion, the relation of these findings to the Mermin-Wagner theorem is addressed.
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