Imaginary Time Transformation (Wick rotation)

Japanese version
Because the subjecy is related to quantum gravity I make "Imaginary Time Transformation" a menu on my BLOG.

The zero-th talk: Why Wick rotation? My motivation

The 1st talk:On Imaginary Time Tranfomation (Wick Rotation)

The 2nd-3rd talk:Classical Mechanics versus Thermodynamics (Part 1)

The 4-th 5-th talk:Classical Mechanics versus Thermodynamics (Part 2)

The 6-th talk:Black-Scholes and Schroedinger

The 7-th and 8-th talks, Quantum Black Holes

Introducing categorification into mathmatical financial

The 9-th talk: Quantropy (Part1)

The 10-th talk: Quantropy (Part2)

The 11-th talk: Quantropy (Part3)

The zero-th talk: Why Wick rotation? My motivation

Japanese version

I decide that the zero-th talk is named "Why Wick rotation?" For a background I suspect in this talk why thermo-statistical dynamics can detect the crack of a physical theory.

Imaginary Time Tranformation (Wick rotation)

It is greatly based on the article of Professor Eguchi in Suurikagaku January, 2001 titled "The arrow of time."

Why do we expect a Higgs boson? Part II：Unitarization of Vector Boson Scattering

Japanese version

I translated the article posted on QuantumDiaries by US LHC F. Tanedo, "Why do we expect a Higgs boson? Part II: Unitarization of Vector Boson Scattering." This article is written intelligibly and in detail about the story of Higgs particle and the unitarization of vector bosons. It is expected from the end of last year PartI was posted.

Why do we expect a Higgs boson? Part II: Unitarization of Vector Boson Scattering (Japanese only version)

The original article:

Why do we expect a Higgs boson? Part II: Unitarization of Vector Boson Scattering

The 7-th and 8-th talks, Quantum Black Holes

The 7-th talk Japanese versionThe 8-th talk Japanese version

The imaginary time transformations(Wick rotations) play a very important role in the theory of Black Holes. Dr. Hawking Told the idea of the imaginary time transformation on the textbook "The Nature of Space and Time" published by Princeton and Oxford UNIV. press. I translated few parts that relate to the imaginary time transformation into Japanese from chapter III of it.

Quantum Black Holes I (in Japanese)


Quantum Black Holes II (in Japanese)

The original book：

"The Nature of Space and Time" Chapter III

The 6-th talk:Black-Scholes and Schroedinger

Japanese version

I was astonishing that the imaginary time transformation(Wick rotation) makes Schroedinger equation for an electron in the electromagnetic field to Black-Scholes formula in the famous formula in economics. I recognized by John Baez's blog azimath that it is described on Phorgy Phynance. It might be related to Feynman-Kac formula. I have translated it into Japanese and post my blog.

Black-Scholes and Schroedinger(tentative)(in Japanese)

The original article:

Black-Scholes and Schrodinger

Categorified Option Pricing Theory

Mirror Symmetry, Hitchin's Equations, And Langlands Duality (traslation)

Japanese version I Japanese version II
Japanese version III
I had translated Witten's paper, titled "Mirror Symmetry, Hitchin's Equations, And Langlands Duality" into Japanese and posted them my Blog. This paper may not be familiar for physicists and mathematicians but it contains very fruitful contents about mirror symmetry and Langlands dualities, which is my Blog's title.

The original paper :

Mirror Symmetry, Hitchin's Equations, And Langlands Duality

The first part :

Mirror Symmetry, Hitchin's Equations, And Langlands Duality I (in Japanese)

The second part :

Mirror Symmetry, Hitchin's Equations, And Langlands Duality II (in Japanese)

The third part :

Mirror Symmetry, Hitchin's Equations, And Langlands Duality III (in Japanese)

Implications of Higgs Searches (translation)

Japanese version 1 Japanese version 2
Although it published at September 2011 I had traslated Rutgers UNIV. Professor Matt Strassler's Blog article, titled "Implications of Higgs Searches" into Japanese and post it my Blog. This article contains the status at LHC for Higgs research now and why and how we look for Higgs particle. It is acceptable and intelligible.

The original blog :

Implications of Higgs Searches

The first part :

Implications of Higgs Searches 1 (in Japanese)

The second part :

Implications of Higgs Searches 2 (in Japanese)