The excitations of a one-dimensional string are bosonic in nature, with their frequency \(\omega\ \) and wave-number k being related by \(\omega \propto k^3\ \) in the large wavelength limit. If the chemical potential is zero, the behaviour of the specific heat of the system at low temperature is proportional to:
1
\( T \ \)
2
\(T^{1/3} \ \)
3
\( T^{2/3} \ \)
4
\( T^1 \ \)