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jywu20 / thermal-z2

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Whether it is valid to mapping Z2 gauge field into 1D transverse Ising chains #2

Open jywu20 opened 3 years ago

jywu20 commented 3 years ago

The gauge choice $\sigma^z_\text{horizontal bonds} = 1$ does not commute with the string tension term $-h \sum_i \sigma^x_i$. Does this gauge fixing step used in 1812.05621 really work for a generic Z_2 gauge theory???

jywu20 commented 3 years ago

After some discussion we conclude the short answer is "no". When h=0, however, the picture of "a bundle of separate spin chains" is useful because it demonstrates the absence of thermal phase transition.

jywu20 commented 3 years ago

Things yet to do is to edit note.tex.