Bose system critical dynamics near quantum phase transition

We show that the change of fluctuation spectrum near quantum critical point (QCP) may result in continuous exponents with temperature due to increase effective dimensionality upon approach QCP. The latter reflects crossover from thermal fluctuations white noise mode regime. investigate dynamics an exemplary system obeying Bose–Einstein employing Keldysh–Schwinger and develop renormalization group technique enables us obtain analytical expressions for dependencies exponents.