It's been proven?
Lu Zhou looked at the screen and put down the coffee cup in his hand.
"Are you sure it's a proof? Instead of providing a possible way to prove it? "
"Yes … The author of the paper claims to have solved the Yang-Mills existence and mass gap problem, and this person has quite a background." Luo Wenxuan looked at the author's information and said in disbelief, "Brian Caro, professor at the University of Oxford, member of the Royal Society, and academician of the European Academy of Sciences. He participated in the research related to the Higgs particle discovery and won the Newton Medal from the British Physical Society … Unbelievable, he's sixty years old this year."
Sixty years old wasn't the golden age for physics research, but it wasn't the age for memory loss. Even so, it wasn't easy for someone to achieve this at this age.
However, maybe because Lu Zhou didn't know much about the theoretical physics community, he had never heard of Professor Brian Caro.
After listening to Luo Wenxuan read his resume, Lu Zhou paused for a second before he spoke.
"The thesis has been released in the form of a preprint? Or is it just the abstract? "
Luo Wenxuan clicked his mouse twice and said, "It's already been released."
Even though this was rare in the mathematics world, it wasn't rare in the physics world. This was especially true in the field of theoretical physics. Even many experienced professors liked to put up preprints to prevent scholars in the same field from getting ahead of them.
After all, it was too difficult to produce results in this field. One step slower than others could cause years of hard work to go down the drain.
Lu Zhou said with interest, "Print one for me."
"Okay … Speaking of which, I don't understand why you like to print theses on paper. Isn't it convenient to use an e- reader? "
"There's no special reason, I just like to read theses that I can touch."
Even though Lu Zhou would occasionally read theses on his phone, that was only when it was inconvenient.
If he could sit on a sofa in the library or read at his desk, he would naturally prefer to print the thesis on paper. First, it would be easier for him to take notes. Second, it would be easier for him to write down ideas that popped up in his mind.
The printer began to buzz.
While Luo Wenxuan was printing the thesis, he stared at the thesis on the screen and suddenly spoke.
"What if he's right?"
When Lu Zhou heard this, he paused for a second and looked at him strangely.
"If he's right, then he's right. Is there a problem?"
Luo Wenxuan looked at him strangely and spoke in disbelief.
"You don't feel regretful?"
Lu Zhou: "What's there to be regretful about?"
Luo Wenxuan made a helpless expression. "Come on, we've been studying it for so long, and now we're only a step away from it, but someone else beat us to it. Don't you feel anything?"
Lu Zhou said nonchalantly, "There's nothing to regret. No matter who solves this problem, it's all the same to me."
Lu Zhou had already won the Fields Medal and the Nobel Prize, so he didn't really care about personal honors anymore. The reason why he researched these problems was because he wanted an answer. If someone was inspired by his research and successfully solved the Yang-Mills existence and mass gap, it would be better than solving the problem himself.
Seeing how indifferent Lu Zhou was, Luo Wenxuan opened his mouth and sighed.
"Okay then … I'm not at your level yet."
Lu Zhou said, "You will one day."
…
After a minute or two, the twenty-page thesis was printed on a piece of paper.
As an unofficial preprint, judging from the thickness of the paper, this paper was written with sincerity.
At the very least, the format had met the requirements of a medium to long journal, and the argumentation of the text was clear. It was not like those preprints that were posted on the Internet, where one could find dozens of loopholes at a glance.
After the thesis was printed, Lu Zhou found a sofa in Luo Wenxuan's office and sat down. He quickly read through the abstract of the thesis.
Generally speaking, Professor Brian Caro's abilities were quite good, whether it was in a mathematical or physical sense. Even though there was still a gap between him and some of the top scholars Luo Wenxuan knew, at least his abilities matched his reputation.
What surprised Lu Zhou the most was that Professor Brian Caro's method was similar to his and Luo Wenxuan's. It was based on Professor Jaffe's Annual Mathematics thesis, which explained the existence of the Yang-Mills existence and mass gap by studying the particle mass m.
However, when it came to studying the particle mass m, the two had different ideas.
Brian Caro didn't consider introducing a quantum field corresponding to the classical action in the above problem, which was the quantum Yang-Mills field. Instead, he used a method similar to Weinberg's, which was to introduce a scalar field on a space-time manifold to solve this problem.
Regardless of the questionable parts of the thesis, in Lu Zhou's opinion, it wasn't rigorous at all.
After all, the zero-mass problem of the strong interaction couldn't be solved with a "symmetry breaking" method.
"His proof is very close to the truth, but it still missed the finish line." Lu Zhou put down the thesis in his hand and touched his coffee cup. He noticed that the cup was cold, so he walked to the water dispenser and prepared to make another cup.
When Luo Wenxuan heard Lu Zhou's words, he immediately looked up and spoke in high spirits.
"So he's wrong?"
"Don't gloat, his thesis has its merits. For example, he discusses the existence of a four-dimensional gauge field based on the normalization of lattices, and he gives a well-defined path integral for some gauge invariant actions in torus Euclidean spacetime … Of course, he has a lot of problems."
Luo Wenxuan: "Like what?"
"For example, when he discusses this problem based on the normalization of lattices, he didn't prove that the lattice step size tends to zero. Therefore, his method of defining gauge invariant actions in torus Euclidean spacetime is not rigorous, it might even be wrong."
Lu Zhou made a cup of coffee and blew on it. He took a sip and paused for a few seconds before saying, "But I'm not sure if it's because this is a preprint. Maybe he already thought of a good proof method, but he didn't post it here."
This was a common situation.
After all, many high-quality theses on arXiv were improved through constant discussion and revision.
Luo Wenxuan: "So he didn't prove it?"
"So far, yes. I don't care what other people think, but in my opinion, he didn't succeed. "Lu Zhou sighed and sounded a little disappointed.
He originally thought that Professor Brian would be able to show him something different, but he didn't expect Brian to make the same mistake that almost everyone would make.
As expected, he had to rely on himself to solve this problem.
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