We review the use of an exact renormalization group equation in quantum field theory and
statistical physics. It describes the dependence of the free energy on an infrared cutoff for the …

Reheating is an important part of inflationary cosmology. It describes the production of
Standard Model particles after the phase of accelerated expansion. We review the reheating …

Reheating after inflation occurs due to particle production by the oscillating inflaton field. In
this paper we briefly describe the perturbative approach to reheating, and then concentrate …

Our understanding of the state of the universe between the end of inflation and big bang
nucleosynthesis (BBN) is incomplete. The dynamics at the end of inflation are rich and a …

It is known that the single-field inflation with a transient ultra-slow-roll phase can produce a
large curvature perturbation at small scales for the formation of primordial black holes. In our …

We reconsider the old problem of the dynamics of spontaneous symmetry breaking (SSB)
using 3D lattice simulations. We develop a theory of tachyonic preheating, which occurs due …

The existence of a shadow world (or mirror universe) with matter and forces identical to that
of the visible world but interacting with the latter only via gravity can be motivated by …

We show that gravitational radiation is produced quite efficiently in interactions of classical
waves created by resonant decay of a coherently oscillating field. As an important example …

In supersymmetric theories a field can develop a vacuum expectation value M≫ 10 3 GeV,
even though its mass m is of order 10 2 to 10 3 GeV. The finite temperature in the early …

We present the first fully nonlinear calculation of inflaton decay. We map inflaton decay onto
an equivalent classical problem and solve the latter numerically. In the λ φ 4 model, we find …