Public Display of Affection
PDA is a vulgar culture, it is based on Western. yet it also took place among Muslims. Mostly, the married couples are seen hugging each other, holding hands in front of people... It is also still common in Social media as well...
It is very against modesty, and aswell it is contrary to protective jealousy of man.
It is the duty of a Muslim man to protect the honor of his wife, and he should make sure that she does not fall into any dangers.
Allah says in Quran
ٱلرِّجَالُ قَوَّٰمُونَ عَلَى ٱلنِّسَآءِ بِمَا فَضَّلَ ٱللَّهُ بَعۡضَهُمۡ عَلَىٰ بَعۡضٍ وَبِمَآ أَنفَقُواْ مِنۡ أَمۡوَٰلِهِمۡۚ فَٱلصَّٰلِحَٰتُ قَٰنِتَٰتٌ حَٰفِظَٰتٌ لِّلۡغَيۡبِ بِمَا حَفِظَ ٱللَّهُۚ
Men are in charge of women by [right of] what Allah has given one over the other and what they spend [for maintenance] from their wealth. So righteous women are devoutly obedient, guarding in [the husband's] absence what Allah would have them, guard.
Therefore it is completely against Allah's command that man should practice PDA with his wife.
Modesty is of great importance. It is reported in ahadith:
It was narrated from Abu Hurairah that:
The Prophet (ﷺ) said: "Faith has seventy-odd branches and modesty (Al-Haya') is a branch of faith."
Sunan an-Nasa'i 5004
Narrated Abu Mas`ud:
The Prophet (ﷺ) said, 'One of the sayings of the early Prophets which the people have got is: If you don't feel ashamed, do whatever you like."
Sahih al-Bukhari 6120
And it is also important that the man should also protect his wife's honor, that he should have protective jealousy over her, and not allow any strangers to touch her.
Abu Huraira (Allah be pleased with him) reported that Sa'd b. Ubada (Allah be pleased with him) said:
Messenger of Allah, if I were to find with my wife a man, should I not touch him before bringing four witnesses? Allah's Messenger (ﷺ) said: Yes. He said: By no means. By Him Who has sent you with the Truth, I would hasten with my sword to him before that. Allah's Messenger (ﷺ) said: Listen to what your chief says. He is jealous of his honor, I am more jealous than he (is) and God is more jealous than I.
Sahih Muslim 1498 c
See how Hazrat Sa'd b Ubadah's jealousy toward his wife was! Yet today, we come across many pictures of Muslim couples showing affection, holding hands, hugging, etc... This is not good.
Moreover, not only it also affects the honor of the couples, but it could lead to evil eyes as well. Many of our brothers and sisters are unmarried, even at older ages, and are still struggling to find spouses. So if they were to see what the married couples are doing in public, they would grow more depressed and feel hatred and envious toward those.
So, therefore, you must avoid displaying affection with your spouses publicly. Do it in private, don't follow the kafirs' way. Follow the Prophet peace be upon him and his companions, for they had best Ghayrah...