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20012023
most citedTest function method for blow-up phenomena of semilinear wave equations and their weakly coupled systems

65 citations

36 papers

hep-th2023★ 14 cited

Complex saddles of three-dimensional de Sitter gravity via holography

Heng-Yu Chen, Yasuaki Hikida, Yusuke Taki +1

We determine complex saddles of three-dimensional gravity with a positive cosmological constant by applying the recently proposed holography. It is sometimes useful to consider a c…

math.AP2022★ 4 cited

The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights

Shunsuke Kitamura, Hiroyuki Takamura, Kyouhei Wakasa

In this paper, we study the lifespan estimates of classical solutions for semilinear wave equations with characteristic weights and compactly supported data in one space dimension.…

hep-ph2020★ 2 cited

Confining potential under the gauge field condensation in the SU(2) Yang-Mills theory

Hirohumi Sawayanagi

potential is studied in the SU(2) gauge theory. Based on the nonlinear gauge of the Curci-Ferrari type, the possibility of a gluon condensation $\langle A_μ^+A_μ^-\rangl…

math.AP2020

Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution

Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa

In the present paper, we study the Cauchy problem for the wave equation with a time-dependent scale invariant damping and a cubic convolution $(|x|^{-γ}…

math.AP2020★ 1 cited

Small data blow-up for the wave equation with a time-dependent scale invariant damping and a cubic convolution for slowly decaying initial data

Masahiro Ikeda, Tomoyuki Tanaka, Kyouhei Wakasa

In the present paper, we study the Cauchy problem for the wave equation with a time-dependent scale invariant damping, i.e. and a cubic convolution $(|x|…

math.AP2019★ 21 cited

The lifespan of solutions of semilinear wave equations with the scale-invariant damping in two space dimensions

Takuto Imai, Masakazu Kato, Hiroyuki Takamura +1

In this paper, we study the initial value problem for semilinear wave equations with the time-dependent and scale-invariant damping in two dimensions. Similarly to the one dimensio…

hep-th2019★ 3 cited

Massive dual gauge field and confinement in Minkowski space : Electric charge

Hirohumi Sawayanagi

SU(2) gauge theory in the nonlinear gauge of the Curci-Ferrari type is studied in low-energy region. We give a classical solution that connects color electric charges. Its dual sol…

math.AP2018

Finite time blowup of solutions to semilinear wave equation in an exterior domain

Motohiro Sobajima, Kyouhei Wakasa

We consider the initial-boundary value problem of semilinear wave equation with nonlinearity in exterior domain in . Especially, the lifespan of b…

math.AP2018★ 8 cited

The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension

Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa

The critical constant of time-decaying damping in the scale-invariant case is recently conjectured. It also has been expected that the lifespan estimate is the same as for the asso…

hep-th2018★ 3 cited

Massive dual gauge field and confinement in Minkowski space : Magnetic charge

Hirohumi Sawayanagi

Gauge field configuration for a magnetic monopole and its dual configuration are studied in SU(2) gauge theory. We present a relation between the monopole field and its dual field.…

math.AP2018★ 65 cited

Test function method for blow-up phenomena of semilinear wave equations and their weakly coupled systems

Masahiro Ikeda, Motohiro Sobajima, Kyouhei Wakasa

In this paper we consider the wave equations with power type nonlinearities including time-derivatives of unknown functions and their weakly coupled systems. We propose a framework…

hep-th2017★ 6 cited

Multiloop Amplitudes of Light-cone Gauge Superstring Field Theory: Odd Spin Structure Contributions

Nobuyuki Ishibashi, Koichi Murakami

We study the odd spin structure contributions to the multiloop amplitudes of light-cone gauge superstring field theory. We show that they coincide with the amplitudes in the confor…

hep-th2017★ 1 cited

Condensate and massive magnetic potential in Euclidean gauge theories

Hirohumi Sawayanagi

Euclidean gauge theory is studied in a nonlinear gauge. In this theory, ghost condensation happens and gauge fields acquire tachyonic masses. It is shown that these tachyon…

hep-th2017

The Gribov Horizon and Ghost Interactions in Euclidean Gauge Theories

Hirohumi Sawayanagi

The effect of the Gribov horizon in Euclidean gauge theory is studied. Gauge fields on the Gribov horizon yield zero modes of ghosts and anti-ghosts. We show these zero mod…

hep-th2016★ 3 cited

Multiloop Amplitudes of Light-cone Gauge NSR String Field Theory in Noncritical Dimensions

Nobuyuki Ishibashi, Koichi Murakami

Feynman amplitudes of light-cone gauge superstring field theory are ill-defined because of various divergences. In a previous paper, one of the authors showed that taking the world…

hep-th2016

Vortex driven phase transition in Topologically Massive QED

Yuichi Hoshino

There is chiral like symmetry for 4-component massless fermion in (2+1)-dimensional gauge theory.Since QED with Chern-Simons term contains vortex solution for vector potentia…

hep-th2016★ 14 cited

Worldsheet theory of light-cone gauge noncritical strings on higher genus Riemann surfaces

Nobuyuki Ishibashi, Koichi Murakami

It is possible to formulate light-cone gauge string field theory in noncritical dimensions. Such a theory corresponds to conformal gauge worldsheet theory with nonstandard longitud…

math.CO2015

A note on lower bounds for boxicity of graphs

Akira Kamibeppu

The boxicity of a graph is the minimum non-negative integer such that can be isomorphic to the intersection graph of a family of boxes in Euclidean -space, where a b…

hep-ph2014★ 3 cited

Gauge covariant solution for the Schwinger-Dyson equation in three-dimensional QED with Chern-Simons term

Yuichi Hoshino, Tomohiro Inagaki, Yuichi Mizutani

An Abelian gauge theory with Chern-Simons term is investigated for a four-component Dirac fermion in 1+2 dimensions. The Ball-Chiu (BC) vertex function is employed to modify the ra…

hep-th2014★ 6 cited

Gauge Theories in Noncommutative Homogeneous Kähler Manifolds

Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki +1

We construct a gauge theory on a noncommutative homogeneous Kähler manifold, where we employ the deformation quantization with separation of variables for Kähler manifolds formulat…

hep-th2014

Soft-photon exponentiation beyond the quenched approximation in QED

Yuichi Hoshino

We discuss the infrared and ultraviolet behavior of the fermion propagator in (2+1)-dimensional QED based on spectral representation.If we choose soft-photon exponentiation to incl…

hep-th2013★ 1 cited

Off-shell Invariant D=N=2 Twisted Super Yang-Mills Theory with a Gauged Central Charge without Constraints

Keisuke Asaka, Junji Kato, Noboru Kawamoto +1

We formulate N=2 twisted super Yang-Mills theory with a gauged central charge by superconnection formalism in two dimensions. We obtain off-shell invariant supermultiplets and acti…

math-ph2012★ 8 cited

Explicit Formulae for Noncommutative Deformations of CP^N and CH^N

Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu

We give explicit expressions of a deformation quantization with separation of variables for CP^N and CH^N. This quantization method is one of the ways to perform a deformation quan…

hep-th2011★ 4 cited

Moduli space volume of vortex and localization

Akiko Miyake, Kazutoshi Ohta, Norisuke Sakai

Volume of moduli space of BPS vortices on a compact genus h Riemann surface Sigma_h is evaluated by means of topological field theory and localization technique. Vortex in Abelian…